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Finding the Fourth Proportional to 754.46, 1,131.97 and 343.92

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Solution

The fourth proportional to 754.46, 1,131.97 and 343.92 is: 516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.46 : 1,131.97 = 343.92 : x
  2. Step 2: Convert to fraction form
    754.46/1,131.97 = 343.92/x
  3. Step 3: Cross multiply
    754.46x = 1,131.97 × 343.92
  4. Step 4: Simplify right side
    754.46x = 389,307.12
  5. Step 5: Solve for x
    x = 389,307.12/754.46
  6. Step 6: Final answer
    x = 516.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.