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Finding the Fourth Proportional to 791.33, 1,090.80 and 542.25

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Solution

The fourth proportional to 791.33, 1,090.80 and 542.25 is: 747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.33 : 1,090.80 = 542.25 : x
  2. Step 2: Convert to fraction form
    791.33/1,090.80 = 542.25/x
  3. Step 3: Cross multiply
    791.33x = 1,090.80 × 542.25
  4. Step 4: Simplify right side
    791.33x = 591,486.30
  5. Step 5: Solve for x
    x = 591,486.30/791.33
  6. Step 6: Final answer
    x = 747.46

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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.