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Finding the Fourth Proportional to 631.92, 871.50 and 616.86

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Solution

The fourth proportional to 631.92, 871.50 and 616.86 is: 850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.92 : 871.50 = 616.86 : x
  2. Step 2: Convert to fraction form
    631.92/871.50 = 616.86/x
  3. Step 3: Cross multiply
    631.92x = 871.50 × 616.86
  4. Step 4: Simplify right side
    631.92x = 537,593.49
  5. Step 5: Solve for x
    x = 537,593.49/631.92
  6. Step 6: Final answer
    x = 850.73

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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.