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Finding the Fourth Proportional to 821.78, 1,231.95 and 335.24

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Solution

The fourth proportional to 821.78, 1,231.95 and 335.24 is: 502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.78 : 1,231.95 = 335.24 : x
  2. Step 2: Convert to fraction form
    821.78/1,231.95 = 335.24/x
  3. Step 3: Cross multiply
    821.78x = 1,231.95 × 335.24
  4. Step 4: Simplify right side
    821.78x = 412,998.92
  5. Step 5: Solve for x
    x = 412,998.92/821.78
  6. Step 6: Final answer
    x = 502.57

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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.