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Finding the Fourth Proportional to 562.61, 775.67 and 457.31

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Solution

The fourth proportional to 562.61, 775.67 and 457.31 is: 630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.61 : 775.67 = 457.31 : x
  2. Step 2: Convert to fraction form
    562.61/775.67 = 457.31/x
  3. Step 3: Cross multiply
    562.61x = 775.67 × 457.31
  4. Step 4: Simplify right side
    562.61x = 354,721.30
  5. Step 5: Solve for x
    x = 354,721.30/562.61
  6. Step 6: Final answer
    x = 630.49

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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.