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Finding the Fourth Proportional to 791.07, 1,092.78 and 749.56

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Solution

The fourth proportional to 791.07, 1,092.78 and 749.56 is: 1,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.07 : 1,092.78 = 749.56 : x
  2. Step 2: Convert to fraction form
    791.07/1,092.78 = 749.56/x
  3. Step 3: Cross multiply
    791.07x = 1,092.78 × 749.56
  4. Step 4: Simplify right side
    791.07x = 819,104.18
  5. Step 5: Solve for x
    x = 819,104.18/791.07
  6. Step 6: Final answer
    x = 1,035.44

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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.