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Finding the Fourth Proportional to 733.38, 1,100.52 and 440.57

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Solution

The fourth proportional to 733.38, 1,100.52 and 440.57 is: 661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.38 : 1,100.52 = 440.57 : x
  2. Step 2: Convert to fraction form
    733.38/1,100.52 = 440.57/x
  3. Step 3: Cross multiply
    733.38x = 1,100.52 × 440.57
  4. Step 4: Simplify right side
    733.38x = 484,850.59
  5. Step 5: Solve for x
    x = 484,850.59/733.38
  6. Step 6: Final answer
    x = 661.12

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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.