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Finding the Fourth Proportional to 791.22, 1,090.74 and 542.15

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Solution

The fourth proportional to 791.22, 1,090.74 and 542.15 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.22 : 1,090.74 = 542.15 : x
  2. Step 2: Convert to fraction form
    791.22/1,090.74 = 542.15/x
  3. Step 3: Cross multiply
    791.22x = 1,090.74 × 542.15
  4. Step 4: Simplify right side
    791.22x = 591,339.24
  5. Step 5: Solve for x
    x = 591,339.24/791.22
  6. Step 6: Final answer
    x = 747.38

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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.