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Finding the Fourth Proportional to 1,998.97, 2,999.79 and 700.44

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Solution

The fourth proportional to 1,998.97, 2,999.79 and 700.44 is: 1,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.97 : 2,999.79 = 700.44 : x
  2. Step 2: Convert to fraction form
    1,998.97/2,999.79 = 700.44/x
  3. Step 3: Cross multiply
    1,998.97x = 2,999.79 × 700.44
  4. Step 4: Simplify right side
    1,998.97x = 2,101,171.16
  5. Step 5: Solve for x
    x = 2,101,171.16/1,998.97
  6. Step 6: Final answer
    x = 1,051.13

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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.