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Finding the Fourth Proportional to 1,270.52, 1,755.22 and 1,085.92

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Solution

The fourth proportional to 1,270.52, 1,755.22 and 1,085.92 is: 1,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.52 : 1,755.22 = 1,085.92 : x
  2. Step 2: Convert to fraction form
    1,270.52/1,755.22 = 1,085.92/x
  3. Step 3: Cross multiply
    1,270.52x = 1,755.22 × 1,085.92
  4. Step 4: Simplify right side
    1,270.52x = 1,906,028.50
  5. Step 5: Solve for x
    x = 1,906,028.50/1,270.52
  6. Step 6: Final answer
    x = 1,500.20

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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.