Home / 1,198.98-1,799.01-505.53

Finding the Fourth Proportional to 1,198.98, 1,799.01 and 505.53

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Solution

The fourth proportional to 1,198.98, 1,799.01 and 505.53 is: 758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.98 : 1,799.01 = 505.53 : x
  2. Step 2: Convert to fraction form
    1,198.98/1,799.01 = 505.53/x
  3. Step 3: Cross multiply
    1,198.98x = 1,799.01 × 505.53
  4. Step 4: Simplify right side
    1,198.98x = 909,453.53
  5. Step 5: Solve for x
    x = 909,453.53/1,198.98
  6. Step 6: Final answer
    x = 758.52

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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.