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Finding the Fourth Proportional to 896.86, 1,238.07 and 861.94

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Solution

The fourth proportional to 896.86, 1,238.07 and 861.94 is: 1,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.86 : 1,238.07 = 861.94 : x
  2. Step 2: Convert to fraction form
    896.86/1,238.07 = 861.94/x
  3. Step 3: Cross multiply
    896.86x = 1,238.07 × 861.94
  4. Step 4: Simplify right side
    896.86x = 1,067,142.06
  5. Step 5: Solve for x
    x = 1,067,142.06/896.86
  6. Step 6: Final answer
    x = 1,189.86

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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.