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Finding the Fourth Proportional to 1,211.46, 1,817.99 and 664.03

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Solution

The fourth proportional to 1,211.46, 1,817.99 and 664.03 is: 996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.46 : 1,817.99 = 664.03 : x
  2. Step 2: Convert to fraction form
    1,211.46/1,817.99 = 664.03/x
  3. Step 3: Cross multiply
    1,211.46x = 1,817.99 × 664.03
  4. Step 4: Simplify right side
    1,211.46x = 1,207,201.34
  5. Step 5: Solve for x
    x = 1,207,201.34/1,211.46
  6. Step 6: Final answer
    x = 996.48

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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.