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Finding the Fourth Proportional to 753.93, 1,132.27 and 721.64

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Solution

The fourth proportional to 753.93, 1,132.27 and 721.64 is: 1,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.93 : 1,132.27 = 721.64 : x
  2. Step 2: Convert to fraction form
    753.93/1,132.27 = 721.64/x
  3. Step 3: Cross multiply
    753.93x = 1,132.27 × 721.64
  4. Step 4: Simplify right side
    753.93x = 817,092.35
  5. Step 5: Solve for x
    x = 817,092.35/753.93
  6. Step 6: Final answer
    x = 1,083.78

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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.