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Finding the Fourth Proportional to 616.92, 851.56 and 380.90

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Solution

The fourth proportional to 616.92, 851.56 and 380.90 is: 525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 851.56 = 380.90 : x
  2. Step 2: Convert to fraction form
    616.92/851.56 = 380.90/x
  3. Step 3: Cross multiply
    616.92x = 851.56 × 380.90
  4. Step 4: Simplify right side
    616.92x = 324,362.52
  5. Step 5: Solve for x
    x = 324,362.52/616.92
  6. Step 6: Final answer
    x = 525.78

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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.