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Finding the Fourth Proportional to 625.25, 938.48 and 477.62

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Solution

The fourth proportional to 625.25, 938.48 and 477.62 is: 716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.25 : 938.48 = 477.62 : x
  2. Step 2: Convert to fraction form
    625.25/938.48 = 477.62/x
  3. Step 3: Cross multiply
    625.25x = 938.48 × 477.62
  4. Step 4: Simplify right side
    625.25x = 448,229.74
  5. Step 5: Solve for x
    x = 448,229.74/625.25
  6. Step 6: Final answer
    x = 716.89

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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.