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Finding the Fourth Proportional to 888.41, 1,226.17 and 861.05

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Solution

The fourth proportional to 888.41, 1,226.17 and 861.05 is: 1,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.41 : 1,226.17 = 861.05 : x
  2. Step 2: Convert to fraction form
    888.41/1,226.17 = 861.05/x
  3. Step 3: Cross multiply
    888.41x = 1,226.17 × 861.05
  4. Step 4: Simplify right side
    888.41x = 1,055,797.82
  5. Step 5: Solve for x
    x = 1,055,797.82/888.41
  6. Step 6: Final answer
    x = 1,188.41

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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.