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Finding the Fourth Proportional to 754.46, 1,131.82 and 429.14

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Solution

The fourth proportional to 754.46, 1,131.82 and 429.14 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.46 : 1,131.82 = 429.14 : x
  2. Step 2: Convert to fraction form
    754.46/1,131.82 = 429.14/x
  3. Step 3: Cross multiply
    754.46x = 1,131.82 × 429.14
  4. Step 4: Simplify right side
    754.46x = 485,709.23
  5. Step 5: Solve for x
    x = 485,709.23/754.46
  6. Step 6: Final answer
    x = 643.78

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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.