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Finding the Fourth Proportional to 562.52, 775.38 and 375.64

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Solution

The fourth proportional to 562.52, 775.38 and 375.64 is: 517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.52 : 775.38 = 375.64 : x
  2. Step 2: Convert to fraction form
    562.52/775.38 = 375.64/x
  3. Step 3: Cross multiply
    562.52x = 775.38 × 375.64
  4. Step 4: Simplify right side
    562.52x = 291,263.74
  5. Step 5: Solve for x
    x = 291,263.74/562.52
  6. Step 6: Final answer
    x = 517.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.