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Finding the Fourth Proportional to 821.33, 1,232 and 333.85

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Solution

The fourth proportional to 821.33, 1,232 and 333.85 is: 500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.33 : 1,232 = 333.85 : x
  2. Step 2: Convert to fraction form
    821.33/1,232 = 333.85/x
  3. Step 3: Cross multiply
    821.33x = 1,232 × 333.85
  4. Step 4: Simplify right side
    821.33x = 411,303.20
  5. Step 5: Solve for x
    x = 411,303.20/821.33
  6. Step 6: Final answer
    x = 500.78

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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.