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Finding the Fourth Proportional to 1,306.82, 1,958.91 and 820.21

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Solution

The fourth proportional to 1,306.82, 1,958.91 and 820.21 is: 1,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.82 : 1,958.91 = 820.21 : x
  2. Step 2: Convert to fraction form
    1,306.82/1,958.91 = 820.21/x
  3. Step 3: Cross multiply
    1,306.82x = 1,958.91 × 820.21
  4. Step 4: Simplify right side
    1,306.82x = 1,606,717.57
  5. Step 5: Solve for x
    x = 1,606,717.57/1,306.82
  6. Step 6: Final answer
    x = 1,229.49

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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.