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Finding the Fourth Proportional to 752.86, 1,129.25 and 265.90

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Solution

The fourth proportional to 752.86, 1,129.25 and 265.90 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.86 : 1,129.25 = 265.90 : x
  2. Step 2: Convert to fraction form
    752.86/1,129.25 = 265.90/x
  3. Step 3: Cross multiply
    752.86x = 1,129.25 × 265.90
  4. Step 4: Simplify right side
    752.86x = 300,261.93
  5. Step 5: Solve for x
    x = 300,261.93/752.86
  6. Step 6: Final answer
    x = 398.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.