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Finding the Fourth Proportional to 1,356.22, 1,872.66 and 884.44

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Solution

The fourth proportional to 1,356.22, 1,872.66 and 884.44 is: 1,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.22 : 1,872.66 = 884.44 : x
  2. Step 2: Convert to fraction form
    1,356.22/1,872.66 = 884.44/x
  3. Step 3: Cross multiply
    1,356.22x = 1,872.66 × 884.44
  4. Step 4: Simplify right side
    1,356.22x = 1,656,255.41
  5. Step 5: Solve for x
    x = 1,656,255.41/1,356.22
  6. Step 6: Final answer
    x = 1,221.23

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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.