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Finding the Fourth Proportional to 1,449.78, 1,998.77 and 1,200.18

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Solution

The fourth proportional to 1,449.78, 1,998.77 and 1,200.18 is: 1,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.78 : 1,998.77 = 1,200.18 : x
  2. Step 2: Convert to fraction form
    1,449.78/1,998.77 = 1,200.18/x
  3. Step 3: Cross multiply
    1,449.78x = 1,998.77 × 1,200.18
  4. Step 4: Simplify right side
    1,449.78x = 2,398,883.78
  5. Step 5: Solve for x
    x = 2,398,883.78/1,449.78
  6. Step 6: Final answer
    x = 1,654.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.