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Finding the Fourth Proportional to 853.44, 1,278.09 and 831.54

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Solution

The fourth proportional to 853.44, 1,278.09 and 831.54 is: 1,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.44 : 1,278.09 = 831.54 : x
  2. Step 2: Convert to fraction form
    853.44/1,278.09 = 831.54/x
  3. Step 3: Cross multiply
    853.44x = 1,278.09 × 831.54
  4. Step 4: Simplify right side
    853.44x = 1,062,782.96
  5. Step 5: Solve for x
    x = 1,062,782.96/853.44
  6. Step 6: Final answer
    x = 1,245.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.