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Finding the Fourth Proportional to 827.65, 1,239.08 and 644.49

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Solution

The fourth proportional to 827.65, 1,239.08 and 644.49 is: 964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.65 : 1,239.08 = 644.49 : x
  2. Step 2: Convert to fraction form
    827.65/1,239.08 = 644.49/x
  3. Step 3: Cross multiply
    827.65x = 1,239.08 × 644.49
  4. Step 4: Simplify right side
    827.65x = 798,571.45
  5. Step 5: Solve for x
    x = 798,571.45/827.65
  6. Step 6: Final answer
    x = 964.86

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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.