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Finding the Fourth Proportional to 827.81, 1,239.50 and 663.61

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Solution

The fourth proportional to 827.81, 1,239.50 and 663.61 is: 993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.81 : 1,239.50 = 663.61 : x
  2. Step 2: Convert to fraction form
    827.81/1,239.50 = 663.61/x
  3. Step 3: Cross multiply
    827.81x = 1,239.50 × 663.61
  4. Step 4: Simplify right side
    827.81x = 822,550.71
  5. Step 5: Solve for x
    x = 822,550.71/827.81
  6. Step 6: Final answer
    x = 993.65

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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.