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Finding the Fourth Proportional to 733.43, 1,099.54 and 489.22

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Solution

The fourth proportional to 733.43, 1,099.54 and 489.22 is: 733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.43 : 1,099.54 = 489.22 : x
  2. Step 2: Convert to fraction form
    733.43/1,099.54 = 489.22/x
  3. Step 3: Cross multiply
    733.43x = 1,099.54 × 489.22
  4. Step 4: Simplify right side
    733.43x = 537,916.96
  5. Step 5: Solve for x
    x = 537,916.96/733.43
  6. Step 6: Final answer
    x = 733.43

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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.