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Finding the Fourth Proportional to 754.40, 1,129.92 and 429.56

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Solution

The fourth proportional to 754.40, 1,129.92 and 429.56 is: 643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.40 : 1,129.92 = 429.56 : x
  2. Step 2: Convert to fraction form
    754.40/1,129.92 = 429.56/x
  3. Step 3: Cross multiply
    754.40x = 1,129.92 × 429.56
  4. Step 4: Simplify right side
    754.40x = 485,368.44
  5. Step 5: Solve for x
    x = 485,368.44/754.40
  6. Step 6: Final answer
    x = 643.38

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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.