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Finding the Fourth Proportional to 853.84, 1,170.62 and 838.27

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Solution

The fourth proportional to 853.84, 1,170.62 and 838.27 is: 1,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.84 : 1,170.62 = 838.27 : x
  2. Step 2: Convert to fraction form
    853.84/1,170.62 = 838.27/x
  3. Step 3: Cross multiply
    853.84x = 1,170.62 × 838.27
  4. Step 4: Simplify right side
    853.84x = 981,301.10
  5. Step 5: Solve for x
    x = 981,301.10/853.84
  6. Step 6: Final answer
    x = 1,149.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.