Home / 1,028.08-1,542.19-297.64

Finding the Fourth Proportional to 1,028.08, 1,542.19 and 297.64

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Solution

The fourth proportional to 1,028.08, 1,542.19 and 297.64 is: 446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.08 : 1,542.19 = 297.64 : x
  2. Step 2: Convert to fraction form
    1,028.08/1,542.19 = 297.64/x
  3. Step 3: Cross multiply
    1,028.08x = 1,542.19 × 297.64
  4. Step 4: Simplify right side
    1,028.08x = 459,019.17
  5. Step 5: Solve for x
    x = 459,019.17/1,028.08
  6. Step 6: Final answer
    x = 446.48

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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.