Home / 1,028.22-1,542.85-412.37

Finding the Fourth Proportional to 1,028.22, 1,542.85 and 412.37

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Solution

The fourth proportional to 1,028.22, 1,542.85 and 412.37 is: 618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.22 : 1,542.85 = 412.37 : x
  2. Step 2: Convert to fraction form
    1,028.22/1,542.85 = 412.37/x
  3. Step 3: Cross multiply
    1,028.22x = 1,542.85 × 412.37
  4. Step 4: Simplify right side
    1,028.22x = 636,216.31
  5. Step 5: Solve for x
    x = 636,216.31/1,028.22
  6. Step 6: Final answer
    x = 618.76

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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.