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Finding the Fourth Proportional to 1,221.42, 1,832.49 and 441.41

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Solution

The fourth proportional to 1,221.42, 1,832.49 and 441.41 is: 662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.42 : 1,832.49 = 441.41 : x
  2. Step 2: Convert to fraction form
    1,221.42/1,832.49 = 441.41/x
  3. Step 3: Cross multiply
    1,221.42x = 1,832.49 × 441.41
  4. Step 4: Simplify right side
    1,221.42x = 808,873.73
  5. Step 5: Solve for x
    x = 808,873.73/1,221.42
  6. Step 6: Final answer
    x = 662.24

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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.