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Finding the Fourth Proportional to 733.60, 1,100.12 and 343.53

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Solution

The fourth proportional to 733.60, 1,100.12 and 343.53 is: 515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.60 : 1,100.12 = 343.53 : x
  2. Step 2: Convert to fraction form
    733.60/1,100.12 = 343.53/x
  3. Step 3: Cross multiply
    733.60x = 1,100.12 × 343.53
  4. Step 4: Simplify right side
    733.60x = 377,924.22
  5. Step 5: Solve for x
    x = 377,924.22/733.60
  6. Step 6: Final answer
    x = 515.16

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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.