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Finding the Fourth Proportional to 1,028.42, 1,542.90 and 379.22

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Solution

The fourth proportional to 1,028.42, 1,542.90 and 379.22 is: 568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.42 : 1,542.90 = 379.22 : x
  2. Step 2: Convert to fraction form
    1,028.42/1,542.90 = 379.22/x
  3. Step 3: Cross multiply
    1,028.42x = 1,542.90 × 379.22
  4. Step 4: Simplify right side
    1,028.42x = 585,098.54
  5. Step 5: Solve for x
    x = 585,098.54/1,028.42
  6. Step 6: Final answer
    x = 568.93

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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.