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Finding the Fourth Proportional to 1,255.09, 1,731.27 and 757.24

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Solution

The fourth proportional to 1,255.09, 1,731.27 and 757.24 is: 1,044.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.09 : 1,731.27 = 757.24 : x
  2. Step 2: Convert to fraction form
    1,255.09/1,731.27 = 757.24/x
  3. Step 3: Cross multiply
    1,255.09x = 1,731.27 × 757.24
  4. Step 4: Simplify right side
    1,255.09x = 1,310,982.57
  5. Step 5: Solve for x
    x = 1,310,982.57/1,255.09
  6. Step 6: Final answer
    x = 1,044.53

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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.