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Finding the Fourth Proportional to 821.76, 1,232.80 and 308.76

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Solution

The fourth proportional to 821.76, 1,232.80 and 308.76 is: 463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.76 : 1,232.80 = 308.76 : x
  2. Step 2: Convert to fraction form
    821.76/1,232.80 = 308.76/x
  3. Step 3: Cross multiply
    821.76x = 1,232.80 × 308.76
  4. Step 4: Simplify right side
    821.76x = 380,639.33
  5. Step 5: Solve for x
    x = 380,639.33/821.76
  6. Step 6: Final answer
    x = 463.20

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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.