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Finding the Fourth Proportional to 850.92, 1,173.67 and 822.34

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Solution

The fourth proportional to 850.92, 1,173.67 and 822.34 is: 1,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.92 : 1,173.67 = 822.34 : x
  2. Step 2: Convert to fraction form
    850.92/1,173.67 = 822.34/x
  3. Step 3: Cross multiply
    850.92x = 1,173.67 × 822.34
  4. Step 4: Simplify right side
    850.92x = 965,163.13
  5. Step 5: Solve for x
    x = 965,163.13/850.92
  6. Step 6: Final answer
    x = 1,134.26

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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.