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Finding the Fourth Proportional to 752.85, 1,129.30 and 265.93

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Solution

The fourth proportional to 752.85, 1,129.30 and 265.93 is: 398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.85 : 1,129.30 = 265.93 : x
  2. Step 2: Convert to fraction form
    752.85/1,129.30 = 265.93/x
  3. Step 3: Cross multiply
    752.85x = 1,129.30 × 265.93
  4. Step 4: Simplify right side
    752.85x = 300,311.26
  5. Step 5: Solve for x
    x = 300,311.26/752.85
  6. Step 6: Final answer
    x = 398.90

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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.