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Finding the Fourth Proportional to 686.68, 1,033.46 and 514.25

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Solution

The fourth proportional to 686.68, 1,033.46 and 514.25 is: 773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.68 : 1,033.46 = 514.25 : x
  2. Step 2: Convert to fraction form
    686.68/1,033.46 = 514.25/x
  3. Step 3: Cross multiply
    686.68x = 1,033.46 × 514.25
  4. Step 4: Simplify right side
    686.68x = 531,454.87
  5. Step 5: Solve for x
    x = 531,454.87/686.68
  6. Step 6: Final answer
    x = 773.95

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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.