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Finding the Fourth Proportional to 562.56, 775.36 and 387.68

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Solution

The fourth proportional to 562.56, 775.36 and 387.68 is: 534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.56 : 775.36 = 387.68 : x
  2. Step 2: Convert to fraction form
    562.56/775.36 = 387.68/x
  3. Step 3: Cross multiply
    562.56x = 775.36 × 387.68
  4. Step 4: Simplify right side
    562.56x = 300,591.56
  5. Step 5: Solve for x
    x = 300,591.56/562.56
  6. Step 6: Final answer
    x = 534.33

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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.