Home / 1,028.75-1,542.20-508.43

Finding the Fourth Proportional to 1,028.75, 1,542.20 and 508.43

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Solution

The fourth proportional to 1,028.75, 1,542.20 and 508.43 is: 762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.75 : 1,542.20 = 508.43 : x
  2. Step 2: Convert to fraction form
    1,028.75/1,542.20 = 508.43/x
  3. Step 3: Cross multiply
    1,028.75x = 1,542.20 × 508.43
  4. Step 4: Simplify right side
    1,028.75x = 784,102.06
  5. Step 5: Solve for x
    x = 784,102.06/1,028.75
  6. Step 6: Final answer
    x = 762.19

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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.