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Finding the Fourth Proportional to 827.75, 1,237.04 and 664.67

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Solution

The fourth proportional to 827.75, 1,237.04 and 664.67 is: 993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.75 : 1,237.04 = 664.67 : x
  2. Step 2: Convert to fraction form
    827.75/1,237.04 = 664.67/x
  3. Step 3: Cross multiply
    827.75x = 1,237.04 × 664.67
  4. Step 4: Simplify right side
    827.75x = 822,223.38
  5. Step 5: Solve for x
    x = 822,223.38/827.75
  6. Step 6: Final answer
    x = 993.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.