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Finding the Fourth Proportional to 791.43, 1,090.83 and 542.33

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Solution

The fourth proportional to 791.43, 1,090.83 and 542.33 is: 747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.43 : 1,090.83 = 542.33 : x
  2. Step 2: Convert to fraction form
    791.43/1,090.83 = 542.33/x
  3. Step 3: Cross multiply
    791.43x = 1,090.83 × 542.33
  4. Step 4: Simplify right side
    791.43x = 591,584.38
  5. Step 5: Solve for x
    x = 591,584.38/791.43
  6. Step 6: Final answer
    x = 747.49

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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.