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Finding the Fourth Proportional to 791.23, 1,091.19 and 496.54

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Solution

The fourth proportional to 791.23, 1,091.19 and 496.54 is: 684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.23 : 1,091.19 = 496.54 : x
  2. Step 2: Convert to fraction form
    791.23/1,091.19 = 496.54/x
  3. Step 3: Cross multiply
    791.23x = 1,091.19 × 496.54
  4. Step 4: Simplify right side
    791.23x = 541,819.48
  5. Step 5: Solve for x
    x = 541,819.48/791.23
  6. Step 6: Final answer
    x = 684.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.