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Finding the Fourth Proportional to 625.24, 938.13 and 578.80

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Solution

The fourth proportional to 625.24, 938.13 and 578.80 is: 868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.24 : 938.13 = 578.80 : x
  2. Step 2: Convert to fraction form
    625.24/938.13 = 578.80/x
  3. Step 3: Cross multiply
    625.24x = 938.13 × 578.80
  4. Step 4: Simplify right side
    625.24x = 542,989.64
  5. Step 5: Solve for x
    x = 542,989.64/625.24
  6. Step 6: Final answer
    x = 868.45

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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.