Home / 1,199.36-1,799.28-419.44

Finding the Fourth Proportional to 1,199.36, 1,799.28 and 419.44

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Solution

The fourth proportional to 1,199.36, 1,799.28 and 419.44 is: 629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.36 : 1,799.28 = 419.44 : x
  2. Step 2: Convert to fraction form
    1,199.36/1,799.28 = 419.44/x
  3. Step 3: Cross multiply
    1,199.36x = 1,799.28 × 419.44
  4. Step 4: Simplify right side
    1,199.36x = 754,690.00
  5. Step 5: Solve for x
    x = 754,690.00/1,199.36
  6. Step 6: Final answer
    x = 629.24

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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.