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Finding the Fourth Proportional to 1,998.97, 2,997.42 and 611.98

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Solution

The fourth proportional to 1,998.97, 2,997.42 and 611.98 is: 917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.97 : 2,997.42 = 611.98 : x
  2. Step 2: Convert to fraction form
    1,998.97/2,997.42 = 611.98/x
  3. Step 3: Cross multiply
    1,998.97x = 2,997.42 × 611.98
  4. Step 4: Simplify right side
    1,998.97x = 1,834,361.09
  5. Step 5: Solve for x
    x = 1,834,361.09/1,998.97
  6. Step 6: Final answer
    x = 917.65

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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.