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Finding the Fourth Proportional to 1,789.56, 2,678.80 and 997.80

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Solution

The fourth proportional to 1,789.56, 2,678.80 and 997.80 is: 1,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.56 : 2,678.80 = 997.80 : x
  2. Step 2: Convert to fraction form
    1,789.56/2,678.80 = 997.80/x
  3. Step 3: Cross multiply
    1,789.56x = 2,678.80 × 997.80
  4. Step 4: Simplify right side
    1,789.56x = 2,672,906.64
  5. Step 5: Solve for x
    x = 2,672,906.64/1,789.56
  6. Step 6: Final answer
    x = 1,493.61

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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.