Home / 1,352.28-2,028.71-415.22

Finding the Fourth Proportional to 1,352.28, 2,028.71 and 415.22

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Solution

The fourth proportional to 1,352.28, 2,028.71 and 415.22 is: 622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.28 : 2,028.71 = 415.22 : x
  2. Step 2: Convert to fraction form
    1,352.28/2,028.71 = 415.22/x
  3. Step 3: Cross multiply
    1,352.28x = 2,028.71 × 415.22
  4. Step 4: Simplify right side
    1,352.28x = 842,367.08
  5. Step 5: Solve for x
    x = 842,367.08/1,352.28
  6. Step 6: Final answer
    x = 622.92

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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.