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Finding the Fourth Proportional to 827.45, 1,241.17 and 211.15

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Solution

The fourth proportional to 827.45, 1,241.17 and 211.15 is: 316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.45 : 1,241.17 = 211.15 : x
  2. Step 2: Convert to fraction form
    827.45/1,241.17 = 211.15/x
  3. Step 3: Cross multiply
    827.45x = 1,241.17 × 211.15
  4. Step 4: Simplify right side
    827.45x = 262,078.31
  5. Step 5: Solve for x
    x = 262,078.31/827.45
  6. Step 6: Final answer
    x = 316.73

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1.5x scale

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.