I need help on a problem. and its a word problem dealing with ratios

There is 1 faculty member per 15 students
To find how many faculty members are given that there are 675 students, we can use the next proportion:
[tex]\frac{1\text{ faculty member}}{x\text{ faculty members}}=\frac{15\text{ students}}{675\text{ students}}[/tex]Solving for x,
[tex]\begin{gathered} 1\cdot675=15\cdot x \\ \frac{675}{15}=x \\ 45=x \end{gathered}[/tex]There are 45 faculty members