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Finding the Fourth Proportional to 454.76, 686.17 and 437.90

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Solution

The fourth proportional to 454.76, 686.17 and 437.90 is: 660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.76 : 686.17 = 437.90 : x
  2. Step 2: Convert to fraction form
    454.76/686.17 = 437.90/x
  3. Step 3: Cross multiply
    454.76x = 686.17 × 437.90
  4. Step 4: Simplify right side
    454.76x = 300,470.96
  5. Step 5: Solve for x
    x = 300,470.96/454.76
  6. Step 6: Final answer
    x = 660.73

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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.