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Finding the Fourth Proportional to 1,221.88, 1,832.81 and 537.88

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Solution

The fourth proportional to 1,221.88, 1,832.81 and 537.88 is: 806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.88 : 1,832.81 = 537.88 : x
  2. Step 2: Convert to fraction form
    1,221.88/1,832.81 = 537.88/x
  3. Step 3: Cross multiply
    1,221.88x = 1,832.81 × 537.88
  4. Step 4: Simplify right side
    1,221.88x = 985,824.02
  5. Step 5: Solve for x
    x = 985,824.02/1,221.88
  6. Step 6: Final answer
    x = 806.81

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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.