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Finding the Fourth Proportional to 863.07, 1,195.80 and 844.62

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Solution

The fourth proportional to 863.07, 1,195.80 and 844.62 is: 1,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.07 : 1,195.80 = 844.62 : x
  2. Step 2: Convert to fraction form
    863.07/1,195.80 = 844.62/x
  3. Step 3: Cross multiply
    863.07x = 1,195.80 × 844.62
  4. Step 4: Simplify right side
    863.07x = 1,009,996.60
  5. Step 5: Solve for x
    x = 1,009,996.60/863.07
  6. Step 6: Final answer
    x = 1,170.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.