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Finding the Fourth Proportional to 539.43, 807.27 and 440.79

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Solution

The fourth proportional to 539.43, 807.27 and 440.79 is: 659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.43 : 807.27 = 440.79 : x
  2. Step 2: Convert to fraction form
    539.43/807.27 = 440.79/x
  3. Step 3: Cross multiply
    539.43x = 807.27 × 440.79
  4. Step 4: Simplify right side
    539.43x = 355,836.54
  5. Step 5: Solve for x
    x = 355,836.54/539.43
  6. Step 6: Final answer
    x = 659.65

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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.