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Finding the Fourth Proportional to 755.71, 1,036.10 and 754.49

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Solution

The fourth proportional to 755.71, 1,036.10 and 754.49 is: 1,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.71 : 1,036.10 = 754.49 : x
  2. Step 2: Convert to fraction form
    755.71/1,036.10 = 754.49/x
  3. Step 3: Cross multiply
    755.71x = 1,036.10 × 754.49
  4. Step 4: Simplify right side
    755.71x = 781,727.09
  5. Step 5: Solve for x
    x = 781,727.09/755.71
  6. Step 6: Final answer
    x = 1,034.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.