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Finding the Fourth Proportional to 539.78, 809.49 and 261.96

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Solution

The fourth proportional to 539.78, 809.49 and 261.96 is: 392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.78 : 809.49 = 261.96 : x
  2. Step 2: Convert to fraction form
    539.78/809.49 = 261.96/x
  3. Step 3: Cross multiply
    539.78x = 809.49 × 261.96
  4. Step 4: Simplify right side
    539.78x = 212,054.00
  5. Step 5: Solve for x
    x = 212,054.00/539.78
  6. Step 6: Final answer
    x = 392.86

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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.