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Finding the Fourth Proportional to 791.26, 1,091.79 and 496.42

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Solution

The fourth proportional to 791.26, 1,091.79 and 496.42 is: 684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.26 : 1,091.79 = 496.42 : x
  2. Step 2: Convert to fraction form
    791.26/1,091.79 = 496.42/x
  3. Step 3: Cross multiply
    791.26x = 1,091.79 × 496.42
  4. Step 4: Simplify right side
    791.26x = 541,986.39
  5. Step 5: Solve for x
    x = 541,986.39/791.26
  6. Step 6: Final answer
    x = 684.97

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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.