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Finding the Fourth Proportional to 849.28, 1,177 and 824.44

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Solution

The fourth proportional to 849.28, 1,177 and 824.44 is: 1,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.28 : 1,177 = 824.44 : x
  2. Step 2: Convert to fraction form
    849.28/1,177 = 824.44/x
  3. Step 3: Cross multiply
    849.28x = 1,177 × 824.44
  4. Step 4: Simplify right side
    849.28x = 970,365.88
  5. Step 5: Solve for x
    x = 970,365.88/849.28
  6. Step 6: Final answer
    x = 1,142.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.