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Finding the Fourth Proportional to 1,198.37, 1,797.51 and 495.56

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Solution

The fourth proportional to 1,198.37, 1,797.51 and 495.56 is: 743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.37 : 1,797.51 = 495.56 : x
  2. Step 2: Convert to fraction form
    1,198.37/1,797.51 = 495.56/x
  3. Step 3: Cross multiply
    1,198.37x = 1,797.51 × 495.56
  4. Step 4: Simplify right side
    1,198.37x = 890,774.06
  5. Step 5: Solve for x
    x = 890,774.06/1,198.37
  6. Step 6: Final answer
    x = 743.32

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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.