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Finding the Fourth Proportional to 1,635.91, 2,257.61 and 889.90

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Solution

The fourth proportional to 1,635.91, 2,257.61 and 889.90 is: 1,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.91 : 2,257.61 = 889.90 : x
  2. Step 2: Convert to fraction form
    1,635.91/2,257.61 = 889.90/x
  3. Step 3: Cross multiply
    1,635.91x = 2,257.61 × 889.90
  4. Step 4: Simplify right side
    1,635.91x = 2,009,047.14
  5. Step 5: Solve for x
    x = 2,009,047.14/1,635.91
  6. Step 6: Final answer
    x = 1,228.09

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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.