Question

Solve for a in the proportion.

a
360
=
7
4


a =

Answer 1

To solve for \( a \) in the proportion

\[
\frac{a}{360} = \frac{7}{4},
\]

you can use cross-multiplication. This means you multiply the numerator of one fraction by the denominator of the other fraction:

\[
a \cdot 4 = 7 \cdot 360.
\]

Now, calculate \( 7 \cdot 360 \):

\[
7 \cdot 360 = 2520.
\]

So the equation becomes:

\[
4a = 2520.
\]

Next, divide both sides by 4 to solve for \( a \):

\[
a = \frac{2520}{4} = 630.
\]

Thus, the solution is:

\[
\boxed{630}.
\]