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Finding the Fourth Proportional to 539.22, 809.10 and 322.68

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Solution

The fourth proportional to 539.22, 809.10 and 322.68 is: 484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.22 : 809.10 = 322.68 : x
  2. Step 2: Convert to fraction form
    539.22/809.10 = 322.68/x
  3. Step 3: Cross multiply
    539.22x = 809.10 × 322.68
  4. Step 4: Simplify right side
    539.22x = 261,080.39
  5. Step 5: Solve for x
    x = 261,080.39/539.22
  6. Step 6: Final answer
    x = 484.18

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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.