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Finding the Fourth Proportional to 821.42, 1,231.07 and 333.91

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Solution

The fourth proportional to 821.42, 1,231.07 and 333.91 is: 500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.42 : 1,231.07 = 333.91 : x
  2. Step 2: Convert to fraction form
    821.42/1,231.07 = 333.91/x
  3. Step 3: Cross multiply
    821.42x = 1,231.07 × 333.91
  4. Step 4: Simplify right side
    821.42x = 411,058.76
  5. Step 5: Solve for x
    x = 411,058.76/821.42
  6. Step 6: Final answer
    x = 500.42

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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.