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Finding the Fourth Proportional to 905.22, 1,350.22 and 822.17

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Solution

The fourth proportional to 905.22, 1,350.22 and 822.17 is: 1,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.22 : 1,350.22 = 822.17 : x
  2. Step 2: Convert to fraction form
    905.22/1,350.22 = 822.17/x
  3. Step 3: Cross multiply
    905.22x = 1,350.22 × 822.17
  4. Step 4: Simplify right side
    905.22x = 1,110,110.38
  5. Step 5: Solve for x
    x = 1,110,110.38/905.22
  6. Step 6: Final answer
    x = 1,226.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.