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Finding the Fourth Proportional to 819.87, 1,132.86 and 742.49

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Solution

The fourth proportional to 819.87, 1,132.86 and 742.49 is: 1,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.87 : 1,132.86 = 742.49 : x
  2. Step 2: Convert to fraction form
    819.87/1,132.86 = 742.49/x
  3. Step 3: Cross multiply
    819.87x = 1,132.86 × 742.49
  4. Step 4: Simplify right side
    819.87x = 841,131.56
  5. Step 5: Solve for x
    x = 841,131.56/819.87
  6. Step 6: Final answer
    x = 1,025.93

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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.