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Finding the Fourth Proportional to 892.92, 1,336.38 and 858.84

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Solution

The fourth proportional to 892.92, 1,336.38 and 858.84 is: 1,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.92 : 1,336.38 = 858.84 : x
  2. Step 2: Convert to fraction form
    892.92/1,336.38 = 858.84/x
  3. Step 3: Cross multiply
    892.92x = 1,336.38 × 858.84
  4. Step 4: Simplify right side
    892.92x = 1,147,736.60
  5. Step 5: Solve for x
    x = 1,147,736.60/892.92
  6. Step 6: Final answer
    x = 1,285.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.