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Finding the Fourth Proportional to 733.68, 1,100.54 and 411.10

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Solution

The fourth proportional to 733.68, 1,100.54 and 411.10 is: 616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,100.54 = 411.10 : x
  2. Step 2: Convert to fraction form
    733.68/1,100.54 = 411.10/x
  3. Step 3: Cross multiply
    733.68x = 1,100.54 × 411.10
  4. Step 4: Simplify right side
    733.68x = 452,431.99
  5. Step 5: Solve for x
    x = 452,431.99/733.68
  6. Step 6: Final answer
    x = 616.66

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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.