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Finding the Fourth Proportional to 733.30, 1,100.38 and 408.64

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Solution

The fourth proportional to 733.30, 1,100.38 and 408.64 is: 613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.30 : 1,100.38 = 408.64 : x
  2. Step 2: Convert to fraction form
    733.30/1,100.38 = 408.64/x
  3. Step 3: Cross multiply
    733.30x = 1,100.38 × 408.64
  4. Step 4: Simplify right side
    733.30x = 449,659.28
  5. Step 5: Solve for x
    x = 449,659.28/733.30
  6. Step 6: Final answer
    x = 613.20

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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.