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Finding the Fourth Proportional to 871.85, 1,308.01 and 324.09

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Solution

The fourth proportional to 871.85, 1,308.01 and 324.09 is: 486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.85 : 1,308.01 = 324.09 : x
  2. Step 2: Convert to fraction form
    871.85/1,308.01 = 324.09/x
  3. Step 3: Cross multiply
    871.85x = 1,308.01 × 324.09
  4. Step 4: Simplify right side
    871.85x = 423,912.15
  5. Step 5: Solve for x
    x = 423,912.15/871.85
  6. Step 6: Final answer
    x = 486.22

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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.