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Finding the Fourth Proportional to 624.60, 865.50 and 616.76

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Solution

The fourth proportional to 624.60, 865.50 and 616.76 is: 854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 865.50 = 616.76 : x
  2. Step 2: Convert to fraction form
    624.60/865.50 = 616.76/x
  3. Step 3: Cross multiply
    624.60x = 865.50 × 616.76
  4. Step 4: Simplify right side
    624.60x = 533,805.78
  5. Step 5: Solve for x
    x = 533,805.78/624.60
  6. Step 6: Final answer
    x = 854.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.