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Finding the Fourth Proportional to 641.92, 961.32 and 398.24

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Solution

The fourth proportional to 641.92, 961.32 and 398.24 is: 596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.92 : 961.32 = 398.24 : x
  2. Step 2: Convert to fraction form
    641.92/961.32 = 398.24/x
  3. Step 3: Cross multiply
    641.92x = 961.32 × 398.24
  4. Step 4: Simplify right side
    641.92x = 382,836.08
  5. Step 5: Solve for x
    x = 382,836.08/641.92
  6. Step 6: Final answer
    x = 596.39

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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.