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Finding the Fourth Proportional to 1,635.74, 2,257.28 and 889.70

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Solution

The fourth proportional to 1,635.74, 2,257.28 and 889.70 is: 1,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.74 : 2,257.28 = 889.70 : x
  2. Step 2: Convert to fraction form
    1,635.74/2,257.28 = 889.70/x
  3. Step 3: Cross multiply
    1,635.74x = 2,257.28 × 889.70
  4. Step 4: Simplify right side
    1,635.74x = 2,008,303.21
  5. Step 5: Solve for x
    x = 2,008,303.21/1,635.74
  6. Step 6: Final answer
    x = 1,227.76

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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.