Home / 1,028.60-1,542.90-298.19

Finding the Fourth Proportional to 1,028.60, 1,542.90 and 298.19

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Solution

The fourth proportional to 1,028.60, 1,542.90 and 298.19 is: 447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.60 : 1,542.90 = 298.19 : x
  2. Step 2: Convert to fraction form
    1,028.60/1,542.90 = 298.19/x
  3. Step 3: Cross multiply
    1,028.60x = 1,542.90 × 298.19
  4. Step 4: Simplify right side
    1,028.60x = 460,069.64
  5. Step 5: Solve for x
    x = 460,069.64/1,028.60
  6. Step 6: Final answer
    x = 447.28

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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.