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Finding the Fourth Proportional to 1,028.49, 1,542.84 and 379.22

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Solution

The fourth proportional to 1,028.49, 1,542.84 and 379.22 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.49 : 1,542.84 = 379.22 : x
  2. Step 2: Convert to fraction form
    1,028.49/1,542.84 = 379.22/x
  3. Step 3: Cross multiply
    1,028.49x = 1,542.84 × 379.22
  4. Step 4: Simplify right side
    1,028.49x = 585,075.78
  5. Step 5: Solve for x
    x = 585,075.78/1,028.49
  6. Step 6: Final answer
    x = 568.87

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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.