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Finding the Fourth Proportional to 892.44, 1,230.39 and 734.49

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Solution

The fourth proportional to 892.44, 1,230.39 and 734.49 is: 1,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.44 : 1,230.39 = 734.49 : x
  2. Step 2: Convert to fraction form
    892.44/1,230.39 = 734.49/x
  3. Step 3: Cross multiply
    892.44x = 1,230.39 × 734.49
  4. Step 4: Simplify right side
    892.44x = 903,709.15
  5. Step 5: Solve for x
    x = 903,709.15/892.44
  6. Step 6: Final answer
    x = 1,012.63

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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.