Home / 1,028.12-1,542.44-297.70

Finding the Fourth Proportional to 1,028.12, 1,542.44 and 297.70

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Solution

The fourth proportional to 1,028.12, 1,542.44 and 297.70 is: 446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.12 : 1,542.44 = 297.70 : x
  2. Step 2: Convert to fraction form
    1,028.12/1,542.44 = 297.70/x
  3. Step 3: Cross multiply
    1,028.12x = 1,542.44 × 297.70
  4. Step 4: Simplify right side
    1,028.12x = 459,179.04
  5. Step 5: Solve for x
    x = 459,179.04/1,028.12
  6. Step 6: Final answer
    x = 446.62

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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.