Home / 1,028.10-1,542.18-480.12

Finding the Fourth Proportional to 1,028.10, 1,542.18 and 480.12

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Solution

The fourth proportional to 1,028.10, 1,542.18 and 480.12 is: 720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.10 : 1,542.18 = 480.12 : x
  2. Step 2: Convert to fraction form
    1,028.10/1,542.18 = 480.12/x
  3. Step 3: Cross multiply
    1,028.10x = 1,542.18 × 480.12
  4. Step 4: Simplify right side
    1,028.10x = 740,431.46
  5. Step 5: Solve for x
    x = 740,431.46/1,028.10
  6. Step 6: Final answer
    x = 720.19

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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.