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Finding the Fourth Proportional to 997.45, 1,379.43 and 872.91

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Solution

The fourth proportional to 997.45, 1,379.43 and 872.91 is: 1,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.45 : 1,379.43 = 872.91 : x
  2. Step 2: Convert to fraction form
    997.45/1,379.43 = 872.91/x
  3. Step 3: Cross multiply
    997.45x = 1,379.43 × 872.91
  4. Step 4: Simplify right side
    997.45x = 1,204,118.24
  5. Step 5: Solve for x
    x = 1,204,118.24/997.45
  6. Step 6: Final answer
    x = 1,207.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.