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Finding the Fourth Proportional to 822.81, 1,232.96 and 335.73

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Solution

The fourth proportional to 822.81, 1,232.96 and 335.73 is: 503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.81 : 1,232.96 = 335.73 : x
  2. Step 2: Convert to fraction form
    822.81/1,232.96 = 335.73/x
  3. Step 3: Cross multiply
    822.81x = 1,232.96 × 335.73
  4. Step 4: Simplify right side
    822.81x = 413,939.98
  5. Step 5: Solve for x
    x = 413,939.98/822.81
  6. Step 6: Final answer
    x = 503.08

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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.