https://r2.erweima.ai/mathbot/image/17261718349334iahb7at.jpg

The proportion in the image is given as:

\[
\frac{5}{7} = \frac{x}{8}
\]

To solve for \( x \), we use cross-multiplication:

\[
5 \times 8 = 7 \times x
\]

This simplifies to:

\[
40 = 7x
\]

Now, divide both sides by 7 to isolate \( x \):

\[
x = \frac{40}{7} \approx 5.71
\]

Rounding to the nearest tenth:

\[
x \approx 5.7
\]

The solution is \( x = 5.7 \).

Would you like more details or have any questions?

Here are some related questions for further practice:

1. How do you solve proportions with different denominators?
2. What are the properties of cross-multiplication?
3. Can you explain why cross-multiplication works?
4. How would you solve a proportion involving decimals?
5. What is an example of a real-world application of solving proportions?

**Tip:** When solving proportions, always remember that cross-multiplication only works for two fractions set equal to each other.

Solve the following proportion for x: 5/7 = x/8. Round your answer to the nearest tenth.

Learn how to solve the proportion 5/7 = x/8 using cross multiplication. This detailed explanation helps students understand proportion concepts and how to round their answer to the nearest tenth. Suitable for Grades 6-8.

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