## Precalculus (6th Edition) Blitzer

The weight of Robert Wadlow before his death was $607\ \text{lb}$.
The height of Robert before his death was $107\text{ inches}$ and a man with the same body type will have a height of $70\text{ inches}$ and a weight of $170$ pounds. According to the question, \begin{align} & w\propto {{h}^{3}} \\ & \text{or} \\ & w=k{{h}^{3}} \\ \end{align} Now, if the height $h=70\text{ inches}$ and the weight $w=170\text{ lb}$ then, \begin{align} & w=k{{h}^{3}} \\ & 170=k{{(70)}^{3}} \\ & 170=k(343000) \\ & k=\frac{170}{343000} \end{align} Hence, $k=0.000496$. Now let us calculate Robert’s weight, \begin{align} & w=0.000496{{h}^{3}} \\ & w=0.000496{{(107)}^{3}} \\ & \ \ \ =0.000496(1225043) \\ & \ \ \ \approx 607\ pounds \end{align}