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Finding the Fourth Proportional to 1,998.20, 2,997.50 and 611.33

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Solution

The fourth proportional to 1,998.20, 2,997.50 and 611.33 is: 917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.20 : 2,997.50 = 611.33 : x
  2. Step 2: Convert to fraction form
    1,998.20/2,997.50 = 611.33/x
  3. Step 3: Cross multiply
    1,998.20x = 2,997.50 × 611.33
  4. Step 4: Simplify right side
    1,998.20x = 1,832,476.15
  5. Step 5: Solve for x
    x = 1,832,476.15/1,998.20
  6. Step 6: Final answer
    x = 917.06

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1.5x scale

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.