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Finding the Fourth Proportional to 2,645.99, 3,969.02 and 698.18

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Solution

The fourth proportional to 2,645.99, 3,969.02 and 698.18 is: 1,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.99 : 3,969.02 = 698.18 : x
  2. Step 2: Convert to fraction form
    2,645.99/3,969.02 = 698.18/x
  3. Step 3: Cross multiply
    2,645.99x = 3,969.02 × 698.18
  4. Step 4: Simplify right side
    2,645.99x = 2,771,067.05
  5. Step 5: Solve for x
    x = 2,771,067.05/2,645.99
  6. Step 6: Final answer
    x = 1,047.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.