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Finding the Fourth Proportional to 625.68, 938.46 and 408.78

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Solution

The fourth proportional to 625.68, 938.46 and 408.78 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.68 : 938.46 = 408.78 : x
  2. Step 2: Convert to fraction form
    625.68/938.46 = 408.78/x
  3. Step 3: Cross multiply
    625.68x = 938.46 × 408.78
  4. Step 4: Simplify right side
    625.68x = 383,623.68
  5. Step 5: Solve for x
    x = 383,623.68/625.68
  6. Step 6: Final answer
    x = 613.13

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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.