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Finding the Fourth Proportional to 1,083.92, 1,496.22 and 822.56

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Solution

The fourth proportional to 1,083.92, 1,496.22 and 822.56 is: 1,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.92 : 1,496.22 = 822.56 : x
  2. Step 2: Convert to fraction form
    1,083.92/1,496.22 = 822.56/x
  3. Step 3: Cross multiply
    1,083.92x = 1,496.22 × 822.56
  4. Step 4: Simplify right side
    1,083.92x = 1,230,730.72
  5. Step 5: Solve for x
    x = 1,230,730.72/1,083.92
  6. Step 6: Final answer
    x = 1,135.44

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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.