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Finding the Fourth Proportional to 872.97, 1,306.34 and 641.31

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Solution

The fourth proportional to 872.97, 1,306.34 and 641.31 is: 959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.97 : 1,306.34 = 641.31 : x
  2. Step 2: Convert to fraction form
    872.97/1,306.34 = 641.31/x
  3. Step 3: Cross multiply
    872.97x = 1,306.34 × 641.31
  4. Step 4: Simplify right side
    872.97x = 837,768.91
  5. Step 5: Solve for x
    x = 837,768.91/872.97
  6. Step 6: Final answer
    x = 959.68

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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.