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Finding the Fourth Proportional to 815.26, 1,220.04 and 667.30

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Solution

The fourth proportional to 815.26, 1,220.04 and 667.30 is: 998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.26 : 1,220.04 = 667.30 : x
  2. Step 2: Convert to fraction form
    815.26/1,220.04 = 667.30/x
  3. Step 3: Cross multiply
    815.26x = 1,220.04 × 667.30
  4. Step 4: Simplify right side
    815.26x = 814,132.69
  5. Step 5: Solve for x
    x = 814,132.69/815.26
  6. Step 6: Final answer
    x = 998.62

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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.