Home / 1,419.14-2,128.94-494.44

Finding the Fourth Proportional to 1,419.14, 2,128.94 and 494.44

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Solution

The fourth proportional to 1,419.14, 2,128.94 and 494.44 is: 741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.14 : 2,128.94 = 494.44 : x
  2. Step 2: Convert to fraction form
    1,419.14/2,128.94 = 494.44/x
  3. Step 3: Cross multiply
    1,419.14x = 2,128.94 × 494.44
  4. Step 4: Simplify right side
    1,419.14x = 1,052,635.14
  5. Step 5: Solve for x
    x = 1,052,635.14/1,419.14
  6. Step 6: Final answer
    x = 741.74

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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.