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Finding the Fourth Proportional to 701.54, 966.01 and 686.17

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Solution

The fourth proportional to 701.54, 966.01 and 686.17 is: 944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.54 : 966.01 = 686.17 : x
  2. Step 2: Convert to fraction form
    701.54/966.01 = 686.17/x
  3. Step 3: Cross multiply
    701.54x = 966.01 × 686.17
  4. Step 4: Simplify right side
    701.54x = 662,845.52
  5. Step 5: Solve for x
    x = 662,845.52/701.54
  6. Step 6: Final answer
    x = 944.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.