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Finding the Fourth Proportional to 754.86, 1,131.48 and 494.04

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Solution

The fourth proportional to 754.86, 1,131.48 and 494.04 is: 740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.86 : 1,131.48 = 494.04 : x
  2. Step 2: Convert to fraction form
    754.86/1,131.48 = 494.04/x
  3. Step 3: Cross multiply
    754.86x = 1,131.48 × 494.04
  4. Step 4: Simplify right side
    754.86x = 558,996.38
  5. Step 5: Solve for x
    x = 558,996.38/754.86
  6. Step 6: Final answer
    x = 740.53

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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.