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Finding the Fourth Proportional to 1,198.15, 1,797.56 and 504.45

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Solution

The fourth proportional to 1,198.15, 1,797.56 and 504.45 is: 756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.15 : 1,797.56 = 504.45 : x
  2. Step 2: Convert to fraction form
    1,198.15/1,797.56 = 504.45/x
  3. Step 3: Cross multiply
    1,198.15x = 1,797.56 × 504.45
  4. Step 4: Simplify right side
    1,198.15x = 906,779.14
  5. Step 5: Solve for x
    x = 906,779.14/1,198.15
  6. Step 6: Final answer
    x = 756.82

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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.