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Finding the Fourth Proportional to 749.71, 1,126.17 and 725.11

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Solution

The fourth proportional to 749.71, 1,126.17 and 725.11 is: 1,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.71 : 1,126.17 = 725.11 : x
  2. Step 2: Convert to fraction form
    749.71/1,126.17 = 725.11/x
  3. Step 3: Cross multiply
    749.71x = 1,126.17 × 725.11
  4. Step 4: Simplify right side
    749.71x = 816,597.13
  5. Step 5: Solve for x
    x = 816,597.13/749.71
  6. Step 6: Final answer
    x = 1,089.22

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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.