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Finding the Fourth Proportional to 733.69, 1,100.06 and 408.61

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Solution

The fourth proportional to 733.69, 1,100.06 and 408.61 is: 612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.69 : 1,100.06 = 408.61 : x
  2. Step 2: Convert to fraction form
    733.69/1,100.06 = 408.61/x
  3. Step 3: Cross multiply
    733.69x = 1,100.06 × 408.61
  4. Step 4: Simplify right side
    733.69x = 449,487.97
  5. Step 5: Solve for x
    x = 449,487.97/733.69
  6. Step 6: Final answer
    x = 612.64

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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.