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Finding the Fourth Proportional to 1,039.05, 1,432.24 and 759.31

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Solution

The fourth proportional to 1,039.05, 1,432.24 and 759.31 is: 1,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.05 : 1,432.24 = 759.31 : x
  2. Step 2: Convert to fraction form
    1,039.05/1,432.24 = 759.31/x
  3. Step 3: Cross multiply
    1,039.05x = 1,432.24 × 759.31
  4. Step 4: Simplify right side
    1,039.05x = 1,087,508.68
  5. Step 5: Solve for x
    x = 1,087,508.68/1,039.05
  6. Step 6: Final answer
    x = 1,046.64

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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.