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Finding the Fourth Proportional to 892.44, 1,336.62 and 648.36

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Solution

The fourth proportional to 892.44, 1,336.62 and 648.36 is: 971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.44 : 1,336.62 = 648.36 : x
  2. Step 2: Convert to fraction form
    892.44/1,336.62 = 648.36/x
  3. Step 3: Cross multiply
    892.44x = 1,336.62 × 648.36
  4. Step 4: Simplify right side
    892.44x = 866,610.94
  5. Step 5: Solve for x
    x = 866,610.94/892.44
  6. Step 6: Final answer
    x = 971.06

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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.