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Finding the Fourth Proportional to 1,998.01, 2,996.99 and 517.22

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Solution

The fourth proportional to 1,998.01, 2,996.99 and 517.22 is: 775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.01 : 2,996.99 = 517.22 : x
  2. Step 2: Convert to fraction form
    1,998.01/2,996.99 = 517.22/x
  3. Step 3: Cross multiply
    1,998.01x = 2,996.99 × 517.22
  4. Step 4: Simplify right side
    1,998.01x = 1,550,103.17
  5. Step 5: Solve for x
    x = 1,550,103.17/1,998.01
  6. Step 6: Final answer
    x = 775.82

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Double scale
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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.