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Finding the Fourth Proportional to 809.57, 1,214.31 and 322.27

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Solution

The fourth proportional to 809.57, 1,214.31 and 322.27 is: 483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.57 : 1,214.31 = 322.27 : x
  2. Step 2: Convert to fraction form
    809.57/1,214.31 = 322.27/x
  3. Step 3: Cross multiply
    809.57x = 1,214.31 × 322.27
  4. Step 4: Simplify right side
    809.57x = 391,335.68
  5. Step 5: Solve for x
    x = 391,335.68/809.57
  6. Step 6: Final answer
    x = 483.39

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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.