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Finding the Fourth Proportional to 1,081.22, 1,623.44 and 884.17

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Solution

The fourth proportional to 1,081.22, 1,623.44 and 884.17 is: 1,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.22 : 1,623.44 = 884.17 : x
  2. Step 2: Convert to fraction form
    1,081.22/1,623.44 = 884.17/x
  3. Step 3: Cross multiply
    1,081.22x = 1,623.44 × 884.17
  4. Step 4: Simplify right side
    1,081.22x = 1,435,392.05
  5. Step 5: Solve for x
    x = 1,435,392.05/1,081.22
  6. Step 6: Final answer
    x = 1,327.56

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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.