Home / 1,419.14-2,129.33-725.43

Finding the Fourth Proportional to 1,419.14, 2,129.33 and 725.43

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Solution

The fourth proportional to 1,419.14, 2,129.33 and 725.43 is: 1,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.14 : 2,129.33 = 725.43 : x
  2. Step 2: Convert to fraction form
    1,419.14/2,129.33 = 725.43/x
  3. Step 3: Cross multiply
    1,419.14x = 2,129.33 × 725.43
  4. Step 4: Simplify right side
    1,419.14x = 1,544,676.23
  5. Step 5: Solve for x
    x = 1,544,676.23/1,419.14
  6. Step 6: Final answer
    x = 1,088.46

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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.