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Finding the Fourth Proportional to 791.43, 1,180.84 and 674.57

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Solution

The fourth proportional to 791.43, 1,180.84 and 674.57 is: 1,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.43 : 1,180.84 = 674.57 : x
  2. Step 2: Convert to fraction form
    791.43/1,180.84 = 674.57/x
  3. Step 3: Cross multiply
    791.43x = 1,180.84 × 674.57
  4. Step 4: Simplify right side
    791.43x = 796,559.24
  5. Step 5: Solve for x
    x = 796,559.24/791.43
  6. Step 6: Final answer
    x = 1,006.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.