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Finding the Fourth Proportional to 1,028.19, 1,542.87 and 379.38

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Solution

The fourth proportional to 1,028.19, 1,542.87 and 379.38 is: 569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.19 : 1,542.87 = 379.38 : x
  2. Step 2: Convert to fraction form
    1,028.19/1,542.87 = 379.38/x
  3. Step 3: Cross multiply
    1,028.19x = 1,542.87 × 379.38
  4. Step 4: Simplify right side
    1,028.19x = 585,334.02
  5. Step 5: Solve for x
    x = 585,334.02/1,028.19
  6. Step 6: Final answer
    x = 569.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.