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Finding the Fourth Proportional to 827.81, 1,239.89 and 461.69

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Solution

The fourth proportional to 827.81, 1,239.89 and 461.69 is: 691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.81 : 1,239.89 = 461.69 : x
  2. Step 2: Convert to fraction form
    827.81/1,239.89 = 461.69/x
  3. Step 3: Cross multiply
    827.81x = 1,239.89 × 461.69
  4. Step 4: Simplify right side
    827.81x = 572,436.31
  5. Step 5: Solve for x
    x = 572,436.31/827.81
  6. Step 6: Final answer
    x = 691.51

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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.