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Finding the Fourth Proportional to 624.61, 861.01 and 513.89

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Solution

The fourth proportional to 624.61, 861.01 and 513.89 is: 708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.61 : 861.01 = 513.89 : x
  2. Step 2: Convert to fraction form
    624.61/861.01 = 513.89/x
  3. Step 3: Cross multiply
    624.61x = 861.01 × 513.89
  4. Step 4: Simplify right side
    624.61x = 442,461.86
  5. Step 5: Solve for x
    x = 442,461.86/624.61
  6. Step 6: Final answer
    x = 708.39

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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.