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Finding the Fourth Proportional to 1,221.44, 1,832.49 and 527.81

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Solution

The fourth proportional to 1,221.44, 1,832.49 and 527.81 is: 791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.44 : 1,832.49 = 527.81 : x
  2. Step 2: Convert to fraction form
    1,221.44/1,832.49 = 527.81/x
  3. Step 3: Cross multiply
    1,221.44x = 1,832.49 × 527.81
  4. Step 4: Simplify right side
    1,221.44x = 967,197.38
  5. Step 5: Solve for x
    x = 967,197.38/1,221.44
  6. Step 6: Final answer
    x = 791.85

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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.