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Finding the Fourth Proportional to 733.38, 1,099.26 and 489.57

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Solution

The fourth proportional to 733.38, 1,099.26 and 489.57 is: 733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.38 : 1,099.26 = 489.57 : x
  2. Step 2: Convert to fraction form
    733.38/1,099.26 = 489.57/x
  3. Step 3: Cross multiply
    733.38x = 1,099.26 × 489.57
  4. Step 4: Simplify right side
    733.38x = 538,164.72
  5. Step 5: Solve for x
    x = 538,164.72/733.38
  6. Step 6: Final answer
    x = 733.81

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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.