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Finding the Fourth Proportional to 827.75, 1,239.99 and 596.09

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Solution

The fourth proportional to 827.75, 1,239.99 and 596.09 is: 892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.75 : 1,239.99 = 596.09 : x
  2. Step 2: Convert to fraction form
    827.75/1,239.99 = 596.09/x
  3. Step 3: Cross multiply
    827.75x = 1,239.99 × 596.09
  4. Step 4: Simplify right side
    827.75x = 739,145.64
  5. Step 5: Solve for x
    x = 739,145.64/827.75
  6. Step 6: Final answer
    x = 892.96

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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.