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Finding the Fourth Proportional to 1,198.44, 1,798.25 and 854.01

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Solution

The fourth proportional to 1,198.44, 1,798.25 and 854.01 is: 1,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.44 : 1,798.25 = 854.01 : x
  2. Step 2: Convert to fraction form
    1,198.44/1,798.25 = 854.01/x
  3. Step 3: Cross multiply
    1,198.44x = 1,798.25 × 854.01
  4. Step 4: Simplify right side
    1,198.44x = 1,535,719.21
  5. Step 5: Solve for x
    x = 1,535,719.21/1,198.44
  6. Step 6: Final answer
    x = 1,281.43

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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.