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Finding the Fourth Proportional to 844.22, 1,257.66 and 822.76

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Solution

The fourth proportional to 844.22, 1,257.66 and 822.76 is: 1,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.22 : 1,257.66 = 822.76 : x
  2. Step 2: Convert to fraction form
    844.22/1,257.66 = 822.76/x
  3. Step 3: Cross multiply
    844.22x = 1,257.66 × 822.76
  4. Step 4: Simplify right side
    844.22x = 1,034,749.20
  5. Step 5: Solve for x
    x = 1,034,749.20/844.22
  6. Step 6: Final answer
    x = 1,225.68

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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.