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Finding the Fourth Proportional to 821.62, 1,232.31 and 308.50

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Solution

The fourth proportional to 821.62, 1,232.31 and 308.50 is: 462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.62 : 1,232.31 = 308.50 : x
  2. Step 2: Convert to fraction form
    821.62/1,232.31 = 308.50/x
  3. Step 3: Cross multiply
    821.62x = 1,232.31 × 308.50
  4. Step 4: Simplify right side
    821.62x = 380,167.64
  5. Step 5: Solve for x
    x = 380,167.64/821.62
  6. Step 6: Final answer
    x = 462.70

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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.