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Finding the Fourth Proportional to 892.25, 1,336.91 and 630.97

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Solution

The fourth proportional to 892.25, 1,336.91 and 630.97 is: 945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.25 : 1,336.91 = 630.97 : x
  2. Step 2: Convert to fraction form
    892.25/1,336.91 = 630.97/x
  3. Step 3: Cross multiply
    892.25x = 1,336.91 × 630.97
  4. Step 4: Simplify right side
    892.25x = 843,550.10
  5. Step 5: Solve for x
    x = 843,550.10/892.25
  6. Step 6: Final answer
    x = 945.42

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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.