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Finding the Fourth Proportional to 892.37, 1,333.11 and 859.97

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Solution

The fourth proportional to 892.37, 1,333.11 and 859.97 is: 1,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.37 : 1,333.11 = 859.97 : x
  2. Step 2: Convert to fraction form
    892.37/1,333.11 = 859.97/x
  3. Step 3: Cross multiply
    892.37x = 1,333.11 × 859.97
  4. Step 4: Simplify right side
    892.37x = 1,146,427.94
  5. Step 5: Solve for x
    x = 1,146,427.94/892.37
  6. Step 6: Final answer
    x = 1,284.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.