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Finding the Fourth Proportional to 1,253.26, 1,729.47 and 755.65

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Solution

The fourth proportional to 1,253.26, 1,729.47 and 755.65 is: 1,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.26 : 1,729.47 = 755.65 : x
  2. Step 2: Convert to fraction form
    1,253.26/1,729.47 = 755.65/x
  3. Step 3: Cross multiply
    1,253.26x = 1,729.47 × 755.65
  4. Step 4: Simplify right side
    1,253.26x = 1,306,874.01
  5. Step 5: Solve for x
    x = 1,306,874.01/1,253.26
  6. Step 6: Final answer
    x = 1,042.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.