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Finding the Fourth Proportional to 827.56, 1,241.82 and 333.86

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Solution

The fourth proportional to 827.56, 1,241.82 and 333.86 is: 500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.56 : 1,241.82 = 333.86 : x
  2. Step 2: Convert to fraction form
    827.56/1,241.82 = 333.86/x
  3. Step 3: Cross multiply
    827.56x = 1,241.82 × 333.86
  4. Step 4: Simplify right side
    827.56x = 414,594.03
  5. Step 5: Solve for x
    x = 414,594.03/827.56
  6. Step 6: Final answer
    x = 500.98

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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.