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Finding the Fourth Proportional to 884.14, 1,222.76 and 773.42

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Solution

The fourth proportional to 884.14, 1,222.76 and 773.42 is: 1,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.14 : 1,222.76 = 773.42 : x
  2. Step 2: Convert to fraction form
    884.14/1,222.76 = 773.42/x
  3. Step 3: Cross multiply
    884.14x = 1,222.76 × 773.42
  4. Step 4: Simplify right side
    884.14x = 945,707.04
  5. Step 5: Solve for x
    x = 945,707.04/884.14
  6. Step 6: Final answer
    x = 1,069.63

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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.