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Finding the Fourth Proportional to 1,306.21, 1,959.31 and 998.61

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Solution

The fourth proportional to 1,306.21, 1,959.31 and 998.61 is: 1,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.21 : 1,959.31 = 998.61 : x
  2. Step 2: Convert to fraction form
    1,306.21/1,959.31 = 998.61/x
  3. Step 3: Cross multiply
    1,306.21x = 1,959.31 × 998.61
  4. Step 4: Simplify right side
    1,306.21x = 1,956,586.56
  5. Step 5: Solve for x
    x = 1,956,586.56/1,306.21
  6. Step 6: Final answer
    x = 1,497.91

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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.