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Finding the Fourth Proportional to 1,789.56, 2,468.16 and 1,198.98

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Solution

The fourth proportional to 1,789.56, 2,468.16 and 1,198.98 is: 1,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.56 : 2,468.16 = 1,198.98 : x
  2. Step 2: Convert to fraction form
    1,789.56/2,468.16 = 1,198.98/x
  3. Step 3: Cross multiply
    1,789.56x = 2,468.16 × 1,198.98
  4. Step 4: Simplify right side
    1,789.56x = 2,959,274.48
  5. Step 5: Solve for x
    x = 2,959,274.48/1,789.56
  6. Step 6: Final answer
    x = 1,653.63

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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.