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Finding the Fourth Proportional to 641.52, 961.72 and 380.88

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Solution

The fourth proportional to 641.52, 961.72 and 380.88 is: 570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.52 : 961.72 = 380.88 : x
  2. Step 2: Convert to fraction form
    641.52/961.72 = 380.88/x
  3. Step 3: Cross multiply
    641.52x = 961.72 × 380.88
  4. Step 4: Simplify right side
    641.52x = 366,299.91
  5. Step 5: Solve for x
    x = 366,299.91/641.52
  6. Step 6: Final answer
    x = 570.99

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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.