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Finding the Fourth Proportional to 616.12, 928.79 and 576.44

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Solution

The fourth proportional to 616.12, 928.79 and 576.44 is: 868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.12 : 928.79 = 576.44 : x
  2. Step 2: Convert to fraction form
    616.12/928.79 = 576.44/x
  3. Step 3: Cross multiply
    616.12x = 928.79 × 576.44
  4. Step 4: Simplify right side
    616.12x = 535,391.71
  5. Step 5: Solve for x
    x = 535,391.71/616.12
  6. Step 6: Final answer
    x = 868.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.