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Finding the Fourth Proportional to 733.66, 1,099.72 and 343.21

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Solution

The fourth proportional to 733.66, 1,099.72 and 343.21 is: 514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.66 : 1,099.72 = 343.21 : x
  2. Step 2: Convert to fraction form
    733.66/1,099.72 = 343.21/x
  3. Step 3: Cross multiply
    733.66x = 1,099.72 × 343.21
  4. Step 4: Simplify right side
    733.66x = 377,434.90
  5. Step 5: Solve for x
    x = 377,434.90/733.66
  6. Step 6: Final answer
    x = 514.45

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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.