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Finding the Fourth Proportional to 562.87, 843.68 and 425.47

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Solution

The fourth proportional to 562.87, 843.68 and 425.47 is: 637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.87 : 843.68 = 425.47 : x
  2. Step 2: Convert to fraction form
    562.87/843.68 = 425.47/x
  3. Step 3: Cross multiply
    562.87x = 843.68 × 425.47
  4. Step 4: Simplify right side
    562.87x = 358,960.53
  5. Step 5: Solve for x
    x = 358,960.53/562.87
  6. Step 6: Final answer
    x = 637.73

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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.