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Finding the Fourth Proportional to 884.36, 1,324.48 and 853.61

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Solution

The fourth proportional to 884.36, 1,324.48 and 853.61 is: 1,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.36 : 1,324.48 = 853.61 : x
  2. Step 2: Convert to fraction form
    884.36/1,324.48 = 853.61/x
  3. Step 3: Cross multiply
    884.36x = 1,324.48 × 853.61
  4. Step 4: Simplify right side
    884.36x = 1,130,580.62
  5. Step 5: Solve for x
    x = 1,130,580.62/884.36
  6. Step 6: Final answer
    x = 1,278.42

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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.