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Finding the Fourth Proportional to 686.43, 1,023.71 and 672.71

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Solution

The fourth proportional to 686.43, 1,023.71 and 672.71 is: 1,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.43 : 1,023.71 = 672.71 : x
  2. Step 2: Convert to fraction form
    686.43/1,023.71 = 672.71/x
  3. Step 3: Cross multiply
    686.43x = 1,023.71 × 672.71
  4. Step 4: Simplify right side
    686.43x = 688,651.47
  5. Step 5: Solve for x
    x = 688,651.47/686.43
  6. Step 6: Final answer
    x = 1,003.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.