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Finding the Fourth Proportional to 752.34, 1,128.87 and 382.53

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Solution

The fourth proportional to 752.34, 1,128.87 and 382.53 is: 573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.34 : 1,128.87 = 382.53 : x
  2. Step 2: Convert to fraction form
    752.34/1,128.87 = 382.53/x
  3. Step 3: Cross multiply
    752.34x = 1,128.87 × 382.53
  4. Step 4: Simplify right side
    752.34x = 431,826.64
  5. Step 5: Solve for x
    x = 431,826.64/752.34
  6. Step 6: Final answer
    x = 573.98

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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.