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Finding the Fourth Proportional to 542.13, 741.69 and 539.82

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Solution

The fourth proportional to 542.13, 741.69 and 539.82 is: 738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.13 : 741.69 = 539.82 : x
  2. Step 2: Convert to fraction form
    542.13/741.69 = 539.82/x
  3. Step 3: Cross multiply
    542.13x = 741.69 × 539.82
  4. Step 4: Simplify right side
    542.13x = 400,379.10
  5. Step 5: Solve for x
    x = 400,379.10/542.13
  6. Step 6: Final answer
    x = 738.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.