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Finding the Fourth Proportional to 562.62, 843.05 and 425.57

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Solution

The fourth proportional to 562.62, 843.05 and 425.57 is: 637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.62 : 843.05 = 425.57 : x
  2. Step 2: Convert to fraction form
    562.62/843.05 = 425.57/x
  3. Step 3: Cross multiply
    562.62x = 843.05 × 425.57
  4. Step 4: Simplify right side
    562.62x = 358,773.64
  5. Step 5: Solve for x
    x = 358,773.64/562.62
  6. Step 6: Final answer
    x = 637.68

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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.