Home / 1,027.82-1,541.94-378.56

Finding the Fourth Proportional to 1,027.82, 1,541.94 and 378.56

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Solution

The fourth proportional to 1,027.82, 1,541.94 and 378.56 is: 567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.82 : 1,541.94 = 378.56 : x
  2. Step 2: Convert to fraction form
    1,027.82/1,541.94 = 378.56/x
  3. Step 3: Cross multiply
    1,027.82x = 1,541.94 × 378.56
  4. Step 4: Simplify right side
    1,027.82x = 583,716.81
  5. Step 5: Solve for x
    x = 583,716.81/1,027.82
  6. Step 6: Final answer
    x = 567.92

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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.