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Finding the Fourth Proportional to 1,198.45, 1,648.05 and 959.41

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Solution

The fourth proportional to 1,198.45, 1,648.05 and 959.41 is: 1,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.45 : 1,648.05 = 959.41 : x
  2. Step 2: Convert to fraction form
    1,198.45/1,648.05 = 959.41/x
  3. Step 3: Cross multiply
    1,198.45x = 1,648.05 × 959.41
  4. Step 4: Simplify right side
    1,198.45x = 1,581,147.41
  5. Step 5: Solve for x
    x = 1,581,147.41/1,198.45
  6. Step 6: Final answer
    x = 1,319.33

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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.