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Finding the Fourth Proportional to 752.72, 1,129.12 and 341.89

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Solution

The fourth proportional to 752.72, 1,129.12 and 341.89 is: 512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.72 : 1,129.12 = 341.89 : x
  2. Step 2: Convert to fraction form
    752.72/1,129.12 = 341.89/x
  3. Step 3: Cross multiply
    752.72x = 1,129.12 × 341.89
  4. Step 4: Simplify right side
    752.72x = 386,029.19
  5. Step 5: Solve for x
    x = 386,029.19/752.72
  6. Step 6: Final answer
    x = 512.85

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