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Finding the Fourth Proportional to 1,362.78, 2,042.34 and 712.20

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Solution

The fourth proportional to 1,362.78, 2,042.34 and 712.20 is: 1,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.78 : 2,042.34 = 712.20 : x
  2. Step 2: Convert to fraction form
    1,362.78/2,042.34 = 712.20/x
  3. Step 3: Cross multiply
    1,362.78x = 2,042.34 × 712.20
  4. Step 4: Simplify right side
    1,362.78x = 1,454,554.55
  5. Step 5: Solve for x
    x = 1,454,554.55/1,362.78
  6. Step 6: Final answer
    x = 1,067.34

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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.