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Finding the Fourth Proportional to 827.80, 1,241.19 and 326.87

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Solution

The fourth proportional to 827.80, 1,241.19 and 326.87 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.80 : 1,241.19 = 326.87 : x
  2. Step 2: Convert to fraction form
    827.80/1,241.19 = 326.87/x
  3. Step 3: Cross multiply
    827.80x = 1,241.19 × 326.87
  4. Step 4: Simplify right side
    827.80x = 405,701.57
  5. Step 5: Solve for x
    x = 405,701.57/827.80
  6. Step 6: Final answer
    x = 490.10

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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.