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Finding the Fourth Proportional to 781.38, 1,083.24 and 739.77

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Solution

The fourth proportional to 781.38, 1,083.24 and 739.77 is: 1,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.38 : 1,083.24 = 739.77 : x
  2. Step 2: Convert to fraction form
    781.38/1,083.24 = 739.77/x
  3. Step 3: Cross multiply
    781.38x = 1,083.24 × 739.77
  4. Step 4: Simplify right side
    781.38x = 801,348.45
  5. Step 5: Solve for x
    x = 801,348.45/781.38
  6. Step 6: Final answer
    x = 1,025.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.