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Finding the Fourth Proportional to 1,091.82, 1,638 and 361.41

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Solution

The fourth proportional to 1,091.82, 1,638 and 361.41 is: 542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.82 : 1,638 = 361.41 : x
  2. Step 2: Convert to fraction form
    1,091.82/1,638 = 361.41/x
  3. Step 3: Cross multiply
    1,091.82x = 1,638 × 361.41
  4. Step 4: Simplify right side
    1,091.82x = 591,989.58
  5. Step 5: Solve for x
    x = 591,989.58/1,091.82
  6. Step 6: Final answer
    x = 542.20

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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.