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Finding the Fourth Proportional to 1,211.81, 1,816.22 and 863.25

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Solution

The fourth proportional to 1,211.81, 1,816.22 and 863.25 is: 1,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.81 : 1,816.22 = 863.25 : x
  2. Step 2: Convert to fraction form
    1,211.81/1,816.22 = 863.25/x
  3. Step 3: Cross multiply
    1,211.81x = 1,816.22 × 863.25
  4. Step 4: Simplify right side
    1,211.81x = 1,567,851.92
  5. Step 5: Solve for x
    x = 1,567,851.92/1,211.81
  6. Step 6: Final answer
    x = 1,293.81

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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.