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Finding the Fourth Proportional to 753.69, 1,132.02 and 721.29

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Solution

The fourth proportional to 753.69, 1,132.02 and 721.29 is: 1,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.69 : 1,132.02 = 721.29 : x
  2. Step 2: Convert to fraction form
    753.69/1,132.02 = 721.29/x
  3. Step 3: Cross multiply
    753.69x = 1,132.02 × 721.29
  4. Step 4: Simplify right side
    753.69x = 816,514.71
  5. Step 5: Solve for x
    x = 816,514.71/753.69
  6. Step 6: Final answer
    x = 1,083.36

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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.