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Finding the Fourth Proportional to 624.42, 861.34 and 456.15

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Solution

The fourth proportional to 624.42, 861.34 and 456.15 is: 629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.42 : 861.34 = 456.15 : x
  2. Step 2: Convert to fraction form
    624.42/861.34 = 456.15/x
  3. Step 3: Cross multiply
    624.42x = 861.34 × 456.15
  4. Step 4: Simplify right side
    624.42x = 392,901.25
  5. Step 5: Solve for x
    x = 392,901.25/624.42
  6. Step 6: Final answer
    x = 629.23

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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.