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Finding the Fourth Proportional to 894.69, 1,231.05 and 873.09

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Solution

The fourth proportional to 894.69, 1,231.05 and 873.09 is: 1,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.69 : 1,231.05 = 873.09 : x
  2. Step 2: Convert to fraction form
    894.69/1,231.05 = 873.09/x
  3. Step 3: Cross multiply
    894.69x = 1,231.05 × 873.09
  4. Step 4: Simplify right side
    894.69x = 1,074,817.44
  5. Step 5: Solve for x
    x = 1,074,817.44/894.69
  6. Step 6: Final answer
    x = 1,201.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.