Home / 1,028.27-1,542.54-297.87

Finding the Fourth Proportional to 1,028.27, 1,542.54 and 297.87

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Solution

The fourth proportional to 1,028.27, 1,542.54 and 297.87 is: 446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.27 : 1,542.54 = 297.87 : x
  2. Step 2: Convert to fraction form
    1,028.27/1,542.54 = 297.87/x
  3. Step 3: Cross multiply
    1,028.27x = 1,542.54 × 297.87
  4. Step 4: Simplify right side
    1,028.27x = 459,476.39
  5. Step 5: Solve for x
    x = 459,476.39/1,028.27
  6. Step 6: Final answer
    x = 446.85

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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.