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Ideal Weight Formulas Compared: Devine vs Hamwi vs Robinson

Three competing ideal body weight formulas, all built on the same 'weight per inch over 5 feet' structure but with different coefficients — and why none of them account for body composition.

Published July 13, 2026

Every commonly used ideal body weight formula shares the same basic structure — a base weight for 5 feet of height, plus a fixed amount per inch above that — but three different versions, developed decades apart, disagree on the exact numbers.

A digital glass weighing scale with a blue measuring tape, symbolizing weight management.
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The shared structure

Ideal Weight = Base + (Coefficient × Inches over 5 feet)

All three formulas below use this same shape, with different base and coefficient values.

Devine (1974)Men: 50 + 2.3/in. Women: 45.5 + 2.3/in. Originally created for drug-dosing calculations.
Hamwi (1964)Men: 48 + 2.7/in. Women: 45.5 + 2.2/in. One of the earliest widely used versions.
Robinson (1983)Men: 52 + 1.9/in. Women: 49 + 1.7/in. A later refinement of Devine.

Why Devine is the most commonly used today

The Devine formula — used by this site’s calculator — has become the de facto standard largely because it’s the version most widely adopted in clinical drug-dosing calculations, where a consistent reference weight is needed for medication dosing regardless of a patient’s actual body composition. That clinical origin, not any claim of superior accuracy for general health assessment, is why it’s the most commonly cited version today.

A worked example

For a 170cm woman: convert to inches (170 ÷ 2.54 ≈ 66.9in), find inches over 5 feet (66.9 − 60 = 6.9in), then apply the formula: 45.5 + (2.3 × 6.9) ≈ 61.4kg. For a 180cm man: 50 + (2.3 × 10.9) ≈ 75.0kg.

170cm woman (Devine)
61.4 kg
180cm man (Devine)
75.0 kg
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Did you know?

The Devine formula was originally published as a practical shortcut for calculating drug dosages, not as a health or fitness recommendation — its widespread use for "ideal weight" outside of medicine is a repurposing of a formula built for a different original purpose.

A worked comparison across all three

For that same 170cm woman, running the height through all three formulas shows how close (and how different) they can be: Devine gives 61.4kg, Hamwi gives 45.5 + (2.2 × 6.9) ≈ 60.7kg, and Robinson gives 49 + (1.7 × 6.9) ≈ 60.7kg. All three land within about a kilogram of each other for this height — a useful illustration that for most adult heights, the specific formula chosen matters far less than whether any height-only formula is being treated as a precise personal target in the first place, which none of them were designed to be.

What none of these formulas capture

Input usedDevine / Hamwi / Robinson
HeightYes
GenderYes
Frame sizeNo
Muscle mass / body compositionNo
AgeNo

All three formulas use only height and gender — none account for frame size, muscle mass, or age, despite each meaningfully affecting what a genuinely healthy weight looks like for a given individual. A muscular, athletic person will often weigh considerably more than any of these formulas suggest while carrying a healthy or even low body-fat percentage — a limitation these height-only formulas share with BMI.

A better complement: body composition and distribution

Rather than treating a single “ideal weight” number as a precise target, pairing it with a measure of fat distribution gives a fuller picture. Waist-to-hip ratio specifically measures fat distribution, which research has linked to health risk independent of total weight or BMI — a useful complement precisely because it captures something these height-only formulas structurally can’t.

How much the three formulas actually disagree

For most adult heights, Devine, Hamwi and Robinson produce results within a few kilograms of each other — they share the same basic structure and were all calibrated against similar reference populations, so wide disagreement would be surprising. The differences matter more at height extremes: because each formula uses a different per-inch coefficient, the gap between formulas widens somewhat for people well above or below average height, since a small per-inch difference compounds over more inches. For someone near average height, which formula is used matters relatively little; for someone notably tall or short, the choice can shift the result by several kilograms.

Why these formulas persist despite their limitations

It’s worth asking why height-only formulas from the 1960s-80s are still referenced today when far more precise body-composition tools exist (DEXA scans, bioelectrical impedance, skinfold calipers). The honest answer is accessibility: these formulas require no equipment beyond a height measurement, which makes them useful for quick clinical reference (particularly for drug dosing, where a consistent standardized weight matters more than an individually precise one) and for giving people a rough, immediately available reference point without needing specialized testing. They were never intended to be a precise personal health target, and treating them as one is a misapplication of what they were actually built for.

Using ideal weight formulas sensibly

Treat any of these three numbers as a rough population-based reference point — useful for clinical dosing calculations and broad screening, not as a precise personal target. Someone with an athletic build will often reasonably weigh well above the formula’s output; someone with less muscle mass may sit healthily below it. The formula’s real value is as a consistent, reproducible reference number, not a personalized health assessment.

FAQ

Which formula should I use? Devine is the most widely used today, mainly due to its clinical adoption for drug dosing — the three formulas produce broadly similar results for most heights, with differences of a few kilograms.

Why do these formulas ignore frame size? They were designed for simplicity and consistency (particularly for clinical dosing use), trading individual precision for ease of calculation — frame-size-adjusted formulas exist but are less commonly used.

Should athletes use these formulas? With caution — a muscular, athletic person will often exceed the formula’s “ideal” weight while being at a healthy or low body-fat percentage, since the formula can’t distinguish muscle mass from fat mass.

How much do the three formulas actually disagree with each other? Usually within a few kilograms for an average-height adult — the gap widens somewhat at height extremes, since each formula’s per-inch coefficient compounds differently over a larger or smaller number of inches above 5 feet.

Why do these decades-old formulas still get used when more precise tools exist? Mainly accessibility — they need only a height measurement, which makes them useful for quick clinical reference (especially standardized drug dosing) even though dedicated body-composition tools like DEXA scans are more precise for individual health assessment.

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