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Finding the Fourth Proportional to 1,414.82, 2,122.45 and 441

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Solution

The fourth proportional to 1,414.82, 2,122.45 and 441 is: 661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.82 : 2,122.45 = 441 : x
  2. Step 2: Convert to fraction form
    1,414.82/2,122.45 = 441/x
  3. Step 3: Cross multiply
    1,414.82x = 2,122.45 × 441
  4. Step 4: Simplify right side
    1,414.82x = 935,999.35
  5. Step 5: Solve for x
    x = 935,999.35/1,414.82
  6. Step 6: Final answer
    x = 661.57

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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.