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Finding the Fourth Proportional to 1,635.65, 2,257.17 and 889.60

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Solution

The fourth proportional to 1,635.65, 2,257.17 and 889.60 is: 1,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.65 : 2,257.17 = 889.60 : x
  2. Step 2: Convert to fraction form
    1,635.65/2,257.17 = 889.60/x
  3. Step 3: Cross multiply
    1,635.65x = 2,257.17 × 889.60
  4. Step 4: Simplify right side
    1,635.65x = 2,007,978.43
  5. Step 5: Solve for x
    x = 2,007,978.43/1,635.65
  6. Step 6: Final answer
    x = 1,227.63

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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.