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Finding the Fourth Proportional to 827.19, 1,239.57 and 548.96

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Solution

The fourth proportional to 827.19, 1,239.57 and 548.96 is: 822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.19 : 1,239.57 = 548.96 : x
  2. Step 2: Convert to fraction form
    827.19/1,239.57 = 548.96/x
  3. Step 3: Cross multiply
    827.19x = 1,239.57 × 548.96
  4. Step 4: Simplify right side
    827.19x = 680,468.15
  5. Step 5: Solve for x
    x = 680,468.15/827.19
  6. Step 6: Final answer
    x = 822.63

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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.