Home / 1,344.24-2,016.56-419.60

Finding the Fourth Proportional to 1,344.24, 2,016.56 and 419.60

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Solution

The fourth proportional to 1,344.24, 2,016.56 and 419.60 is: 629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.24 : 2,016.56 = 419.60 : x
  2. Step 2: Convert to fraction form
    1,344.24/2,016.56 = 419.60/x
  3. Step 3: Cross multiply
    1,344.24x = 2,016.56 × 419.60
  4. Step 4: Simplify right side
    1,344.24x = 846,148.58
  5. Step 5: Solve for x
    x = 846,148.58/1,344.24
  6. Step 6: Final answer
    x = 629.46

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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.