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Finding the Fourth Proportional to 892.63, 1,231.63 and 641.35

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Solution

The fourth proportional to 892.63, 1,231.63 and 641.35 is: 884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.63 : 1,231.63 = 641.35 : x
  2. Step 2: Convert to fraction form
    892.63/1,231.63 = 641.35/x
  3. Step 3: Cross multiply
    892.63x = 1,231.63 × 641.35
  4. Step 4: Simplify right side
    892.63x = 789,905.90
  5. Step 5: Solve for x
    x = 789,905.90/892.63
  6. Step 6: Final answer
    x = 884.92

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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.