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Finding the Fourth Proportional to 1,306.11, 1,959.82 and 484.57

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Solution

The fourth proportional to 1,306.11, 1,959.82 and 484.57 is: 727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.11 : 1,959.82 = 484.57 : x
  2. Step 2: Convert to fraction form
    1,306.11/1,959.82 = 484.57/x
  3. Step 3: Cross multiply
    1,306.11x = 1,959.82 × 484.57
  4. Step 4: Simplify right side
    1,306.11x = 949,663.87
  5. Step 5: Solve for x
    x = 949,663.87/1,306.11
  6. Step 6: Final answer
    x = 727.09

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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.