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Finding the Fourth Proportional to 752.89, 1,129.54 and 266.28

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Solution

The fourth proportional to 752.89, 1,129.54 and 266.28 is: 399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.89 : 1,129.54 = 266.28 : x
  2. Step 2: Convert to fraction form
    752.89/1,129.54 = 266.28/x
  3. Step 3: Cross multiply
    752.89x = 1,129.54 × 266.28
  4. Step 4: Simplify right side
    752.89x = 300,773.91
  5. Step 5: Solve for x
    x = 300,773.91/752.89
  6. Step 6: Final answer
    x = 399.49

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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.