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Finding the Fourth Proportional to 454.70, 686.01 and 431.91

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Solution

The fourth proportional to 454.70, 686.01 and 431.91 is: 651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.70 : 686.01 = 431.91 : x
  2. Step 2: Convert to fraction form
    454.70/686.01 = 431.91/x
  3. Step 3: Cross multiply
    454.70x = 686.01 × 431.91
  4. Step 4: Simplify right side
    454.70x = 296,294.58
  5. Step 5: Solve for x
    x = 296,294.58/454.70
  6. Step 6: Final answer
    x = 651.63

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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.