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Finding the Fourth Proportional to 827.87, 1,239.17 and 549.67

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Solution

The fourth proportional to 827.87, 1,239.17 and 549.67 is: 822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.87 : 1,239.17 = 549.67 : x
  2. Step 2: Convert to fraction form
    827.87/1,239.17 = 549.67/x
  3. Step 3: Cross multiply
    827.87x = 1,239.17 × 549.67
  4. Step 4: Simplify right side
    827.87x = 681,132.85
  5. Step 5: Solve for x
    x = 681,132.85/827.87
  6. Step 6: Final answer
    x = 822.76

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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.