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Finding the Fourth Proportional to 809.32, 1,214.33 and 322.24

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Solution

The fourth proportional to 809.32, 1,214.33 and 322.24 is: 483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.32 : 1,214.33 = 322.24 : x
  2. Step 2: Convert to fraction form
    809.32/1,214.33 = 322.24/x
  3. Step 3: Cross multiply
    809.32x = 1,214.33 × 322.24
  4. Step 4: Simplify right side
    809.32x = 391,305.70
  5. Step 5: Solve for x
    x = 391,305.70/809.32
  6. Step 6: Final answer
    x = 483.50

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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.