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Finding the Fourth Proportional to 821.14, 1,231.40 and 333.92

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Solution

The fourth proportional to 821.14, 1,231.40 and 333.92 is: 500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.14 : 1,231.40 = 333.92 : x
  2. Step 2: Convert to fraction form
    821.14/1,231.40 = 333.92/x
  3. Step 3: Cross multiply
    821.14x = 1,231.40 × 333.92
  4. Step 4: Simplify right side
    821.14x = 411,193.00
  5. Step 5: Solve for x
    x = 411,193.00/821.14
  6. Step 6: Final answer
    x = 500.76

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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.