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Finding the Fourth Proportional to 752.89, 1,129.34 and 232.89

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Solution

The fourth proportional to 752.89, 1,129.34 and 232.89 is: 349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.89 : 1,129.34 = 232.89 : x
  2. Step 2: Convert to fraction form
    752.89/1,129.34 = 232.89/x
  3. Step 3: Cross multiply
    752.89x = 1,129.34 × 232.89
  4. Step 4: Simplify right side
    752.89x = 263,011.99
  5. Step 5: Solve for x
    x = 263,011.99/752.89
  6. Step 6: Final answer
    x = 349.34

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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.