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Finding the Fourth Proportional to 542.92, 810.89 and 539.56

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Solution

The fourth proportional to 542.92, 810.89 and 539.56 is: 805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.92 : 810.89 = 539.56 : x
  2. Step 2: Convert to fraction form
    542.92/810.89 = 539.56/x
  3. Step 3: Cross multiply
    542.92x = 810.89 × 539.56
  4. Step 4: Simplify right side
    542.92x = 437,523.81
  5. Step 5: Solve for x
    x = 437,523.81/542.92
  6. Step 6: Final answer
    x = 805.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.