Home / 1,028.50-1,542.14-412.49

Finding the Fourth Proportional to 1,028.50, 1,542.14 and 412.49

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Solution

The fourth proportional to 1,028.50, 1,542.14 and 412.49 is: 618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.50 : 1,542.14 = 412.49 : x
  2. Step 2: Convert to fraction form
    1,028.50/1,542.14 = 412.49/x
  3. Step 3: Cross multiply
    1,028.50x = 1,542.14 × 412.49
  4. Step 4: Simplify right side
    1,028.50x = 636,120.67
  5. Step 5: Solve for x
    x = 636,120.67/1,028.50
  6. Step 6: Final answer
    x = 618.50

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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.