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Finding the Fourth Proportional to 539.72, 809.27 and 320.11

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Solution

The fourth proportional to 539.72, 809.27 and 320.11 is: 479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.72 : 809.27 = 320.11 : x
  2. Step 2: Convert to fraction form
    539.72/809.27 = 320.11/x
  3. Step 3: Cross multiply
    539.72x = 809.27 × 320.11
  4. Step 4: Simplify right side
    539.72x = 259,054.80
  5. Step 5: Solve for x
    x = 259,054.80/539.72
  6. Step 6: Final answer
    x = 479.98

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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.