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Finding the Fourth Proportional to 757.11, 1,049.02 and 740.71

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Solution

The fourth proportional to 757.11, 1,049.02 and 740.71 is: 1,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.11 : 1,049.02 = 740.71 : x
  2. Step 2: Convert to fraction form
    757.11/1,049.02 = 740.71/x
  3. Step 3: Cross multiply
    757.11x = 1,049.02 × 740.71
  4. Step 4: Simplify right side
    757.11x = 777,010.66
  5. Step 5: Solve for x
    x = 777,010.66/757.11
  6. Step 6: Final answer
    x = 1,026.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.