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Finding the Fourth Proportional to 624.31, 861.24 and 541.29

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Solution

The fourth proportional to 624.31, 861.24 and 541.29 is: 746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.31 : 861.24 = 541.29 : x
  2. Step 2: Convert to fraction form
    624.31/861.24 = 541.29/x
  3. Step 3: Cross multiply
    624.31x = 861.24 × 541.29
  4. Step 4: Simplify right side
    624.31x = 466,180.60
  5. Step 5: Solve for x
    x = 466,180.60/624.31
  6. Step 6: Final answer
    x = 746.71

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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.