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Finding the Fourth Proportional to 1,380.97, 2,072.20 and 650.55

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Solution

The fourth proportional to 1,380.97, 2,072.20 and 650.55 is: 976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.97 : 2,072.20 = 650.55 : x
  2. Step 2: Convert to fraction form
    1,380.97/2,072.20 = 650.55/x
  3. Step 3: Cross multiply
    1,380.97x = 2,072.20 × 650.55
  4. Step 4: Simplify right side
    1,380.97x = 1,348,069.71
  5. Step 5: Solve for x
    x = 1,348,069.71/1,380.97
  6. Step 6: Final answer
    x = 976.18

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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.