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Finding the Fourth Proportional to 625.92, 938.64 and 369.12

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Solution

The fourth proportional to 625.92, 938.64 and 369.12 is: 553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 938.64 = 369.12 : x
  2. Step 2: Convert to fraction form
    625.92/938.64 = 369.12/x
  3. Step 3: Cross multiply
    625.92x = 938.64 × 369.12
  4. Step 4: Simplify right side
    625.92x = 346,470.80
  5. Step 5: Solve for x
    x = 346,470.80/625.92
  6. Step 6: Final answer
    x = 553.54

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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.