Home / 1,028.33-1,419.10-556.23

Finding the Fourth Proportional to 1,028.33, 1,419.10 and 556.23

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Solution

The fourth proportional to 1,028.33, 1,419.10 and 556.23 is: 767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.33 : 1,419.10 = 556.23 : x
  2. Step 2: Convert to fraction form
    1,028.33/1,419.10 = 556.23/x
  3. Step 3: Cross multiply
    1,028.33x = 1,419.10 × 556.23
  4. Step 4: Simplify right side
    1,028.33x = 789,342.25
  5. Step 5: Solve for x
    x = 789,342.25/1,028.33
  6. Step 6: Final answer
    x = 767.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.