Home / 1,028.13-1,542.14-378.82

Finding the Fourth Proportional to 1,028.13, 1,542.14 and 378.82

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Solution

The fourth proportional to 1,028.13, 1,542.14 and 378.82 is: 568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.13 : 1,542.14 = 378.82 : x
  2. Step 2: Convert to fraction form
    1,028.13/1,542.14 = 378.82/x
  3. Step 3: Cross multiply
    1,028.13x = 1,542.14 × 378.82
  4. Step 4: Simplify right side
    1,028.13x = 584,193.47
  5. Step 5: Solve for x
    x = 584,193.47/1,028.13
  6. Step 6: Final answer
    x = 568.21

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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.