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Finding the Fourth Proportional to 1,221.54, 1,685.91 and 889.84

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Solution

The fourth proportional to 1,221.54, 1,685.91 and 889.84 is: 1,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.54 : 1,685.91 = 889.84 : x
  2. Step 2: Convert to fraction form
    1,221.54/1,685.91 = 889.84/x
  3. Step 3: Cross multiply
    1,221.54x = 1,685.91 × 889.84
  4. Step 4: Simplify right side
    1,221.54x = 1,500,190.15
  5. Step 5: Solve for x
    x = 1,500,190.15/1,221.54
  6. Step 6: Final answer
    x = 1,228.11

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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.