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Finding the Fourth Proportional to 754.57, 1,131.79 and 442.38

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Solution

The fourth proportional to 754.57, 1,131.79 and 442.38 is: 663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.57 : 1,131.79 = 442.38 : x
  2. Step 2: Convert to fraction form
    754.57/1,131.79 = 442.38/x
  3. Step 3: Cross multiply
    754.57x = 1,131.79 × 442.38
  4. Step 4: Simplify right side
    754.57x = 500,681.26
  5. Step 5: Solve for x
    x = 500,681.26/754.57
  6. Step 6: Final answer
    x = 663.53

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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.