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Finding the Fourth Proportional to 781.70, 1,171.57 and 683.97

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Solution

The fourth proportional to 781.70, 1,171.57 and 683.97 is: 1,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.70 : 1,171.57 = 683.97 : x
  2. Step 2: Convert to fraction form
    781.70/1,171.57 = 683.97/x
  3. Step 3: Cross multiply
    781.70x = 1,171.57 × 683.97
  4. Step 4: Simplify right side
    781.70x = 801,318.73
  5. Step 5: Solve for x
    x = 801,318.73/781.70
  6. Step 6: Final answer
    x = 1,025.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.