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Finding the Fourth Proportional to 872.20, 1,308.20 and 324.34

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Solution

The fourth proportional to 872.20, 1,308.20 and 324.34 is: 486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.20 : 1,308.20 = 324.34 : x
  2. Step 2: Convert to fraction form
    872.20/1,308.20 = 324.34/x
  3. Step 3: Cross multiply
    872.20x = 1,308.20 × 324.34
  4. Step 4: Simplify right side
    872.20x = 424,301.59
  5. Step 5: Solve for x
    x = 424,301.59/872.20
  6. Step 6: Final answer
    x = 486.47

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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.