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Finding the Fourth Proportional to 1,381.95, 1,906.22 and 1,205.33

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Solution

The fourth proportional to 1,381.95, 1,906.22 and 1,205.33 is: 1,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.95 : 1,906.22 = 1,205.33 : x
  2. Step 2: Convert to fraction form
    1,381.95/1,906.22 = 1,205.33/x
  3. Step 3: Cross multiply
    1,381.95x = 1,906.22 × 1,205.33
  4. Step 4: Simplify right side
    1,381.95x = 2,297,617.63
  5. Step 5: Solve for x
    x = 2,297,617.63/1,381.95
  6. Step 6: Final answer
    x = 1,662.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.