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Finding the Fourth Proportional to 1,227.28, 1,840.50 and 664.29

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Solution

The fourth proportional to 1,227.28, 1,840.50 and 664.29 is: 996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.28 : 1,840.50 = 664.29 : x
  2. Step 2: Convert to fraction form
    1,227.28/1,840.50 = 664.29/x
  3. Step 3: Cross multiply
    1,227.28x = 1,840.50 × 664.29
  4. Step 4: Simplify right side
    1,227.28x = 1,222,630.35
  5. Step 5: Solve for x
    x = 1,222,630.35/1,227.28
  6. Step 6: Final answer
    x = 996.21

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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.