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Finding the Fourth Proportional to 863.70, 1,183.76 and 853.98

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Solution

The fourth proportional to 863.70, 1,183.76 and 853.98 is: 1,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.70 : 1,183.76 = 853.98 : x
  2. Step 2: Convert to fraction form
    863.70/1,183.76 = 853.98/x
  3. Step 3: Cross multiply
    863.70x = 1,183.76 × 853.98
  4. Step 4: Simplify right side
    863.70x = 1,010,903.09
  5. Step 5: Solve for x
    x = 1,010,903.09/863.70
  6. Step 6: Final answer
    x = 1,170.43

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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.