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Finding the Fourth Proportional to 821.89, 1,233.11 and 335.35

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Solution

The fourth proportional to 821.89, 1,233.11 and 335.35 is: 503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.89 : 1,233.11 = 335.35 : x
  2. Step 2: Convert to fraction form
    821.89/1,233.11 = 335.35/x
  3. Step 3: Cross multiply
    821.89x = 1,233.11 × 335.35
  4. Step 4: Simplify right side
    821.89x = 413,523.44
  5. Step 5: Solve for x
    x = 413,523.44/821.89
  6. Step 6: Final answer
    x = 503.14

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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.