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Finding the Fourth Proportional to 686.73, 1,025.13 and 638.52

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Solution

The fourth proportional to 686.73, 1,025.13 and 638.52 is: 953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.73 : 1,025.13 = 638.52 : x
  2. Step 2: Convert to fraction form
    686.73/1,025.13 = 638.52/x
  3. Step 3: Cross multiply
    686.73x = 1,025.13 × 638.52
  4. Step 4: Simplify right side
    686.73x = 654,566.01
  5. Step 5: Solve for x
    x = 654,566.01/686.73
  6. Step 6: Final answer
    x = 953.16

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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.