Home / 1,031.34-1,547.36-338.04

Finding the Fourth Proportional to 1,031.34, 1,547.36 and 338.04

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Solution

The fourth proportional to 1,031.34, 1,547.36 and 338.04 is: 507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.34 : 1,547.36 = 338.04 : x
  2. Step 2: Convert to fraction form
    1,031.34/1,547.36 = 338.04/x
  3. Step 3: Cross multiply
    1,031.34x = 1,547.36 × 338.04
  4. Step 4: Simplify right side
    1,031.34x = 523,069.57
  5. Step 5: Solve for x
    x = 523,069.57/1,031.34
  6. Step 6: Final answer
    x = 507.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.