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Finding the Fourth Proportional to 1,097.70, 1,644.41 and 980.85

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Solution

The fourth proportional to 1,097.70, 1,644.41 and 980.85 is: 1,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.70 : 1,644.41 = 980.85 : x
  2. Step 2: Convert to fraction form
    1,097.70/1,644.41 = 980.85/x
  3. Step 3: Cross multiply
    1,097.70x = 1,644.41 × 980.85
  4. Step 4: Simplify right side
    1,097.70x = 1,612,928.17
  5. Step 5: Solve for x
    x = 1,612,928.17/1,097.70
  6. Step 6: Final answer
    x = 1,469.38

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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.