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Finding the Fourth Proportional to 508.35, 761.45 and 431.13

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Solution

The fourth proportional to 508.35, 761.45 and 431.13 is: 645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.35 : 761.45 = 431.13 : x
  2. Step 2: Convert to fraction form
    508.35/761.45 = 431.13/x
  3. Step 3: Cross multiply
    508.35x = 761.45 × 431.13
  4. Step 4: Simplify right side
    508.35x = 328,281.78
  5. Step 5: Solve for x
    x = 328,281.78/508.35
  6. Step 6: Final answer
    x = 645.78

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1.5x scale

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.