Home / 1,199.26-1,799.32-419.37

Finding the Fourth Proportional to 1,199.26, 1,799.32 and 419.37

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Solution

The fourth proportional to 1,199.26, 1,799.32 and 419.37 is: 629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.26 : 1,799.32 = 419.37 : x
  2. Step 2: Convert to fraction form
    1,199.26/1,799.32 = 419.37/x
  3. Step 3: Cross multiply
    1,199.26x = 1,799.32 × 419.37
  4. Step 4: Simplify right side
    1,199.26x = 754,580.83
  5. Step 5: Solve for x
    x = 754,580.83/1,199.26
  6. Step 6: Final answer
    x = 629.21

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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.