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Finding the Fourth Proportional to 539.57, 808.13 and 527.42

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Solution

The fourth proportional to 539.57, 808.13 and 527.42 is: 789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.57 : 808.13 = 527.42 : x
  2. Step 2: Convert to fraction form
    539.57/808.13 = 527.42/x
  3. Step 3: Cross multiply
    539.57x = 808.13 × 527.42
  4. Step 4: Simplify right side
    539.57x = 426,217.25
  5. Step 5: Solve for x
    x = 426,217.25/539.57
  6. Step 6: Final answer
    x = 789.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.