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Finding the Fourth Proportional to 1,252.55, 1,729.21 and 755.31

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Solution

The fourth proportional to 1,252.55, 1,729.21 and 755.31 is: 1,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.55 : 1,729.21 = 755.31 : x
  2. Step 2: Convert to fraction form
    1,252.55/1,729.21 = 755.31/x
  3. Step 3: Cross multiply
    1,252.55x = 1,729.21 × 755.31
  4. Step 4: Simplify right side
    1,252.55x = 1,306,094.87
  5. Step 5: Solve for x
    x = 1,306,094.87/1,252.55
  6. Step 6: Final answer
    x = 1,042.75

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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.