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Finding the Fourth Proportional to 641.46, 961.92 and 381.72

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Solution

The fourth proportional to 641.46, 961.92 and 381.72 is: 572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.46 : 961.92 = 381.72 : x
  2. Step 2: Convert to fraction form
    641.46/961.92 = 381.72/x
  3. Step 3: Cross multiply
    641.46x = 961.92 × 381.72
  4. Step 4: Simplify right side
    641.46x = 367,184.10
  5. Step 5: Solve for x
    x = 367,184.10/641.46
  6. Step 6: Final answer
    x = 572.42

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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.