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Finding the Fourth Proportional to 1,229.97, 1,692.84 and 980.49

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Solution

The fourth proportional to 1,229.97, 1,692.84 and 980.49 is: 1,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.97 : 1,692.84 = 980.49 : x
  2. Step 2: Convert to fraction form
    1,229.97/1,692.84 = 980.49/x
  3. Step 3: Cross multiply
    1,229.97x = 1,692.84 × 980.49
  4. Step 4: Simplify right side
    1,229.97x = 1,659,812.69
  5. Step 5: Solve for x
    x = 1,659,812.69/1,229.97
  6. Step 6: Final answer
    x = 1,349.47

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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.