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Finding the Fourth Proportional to 677.31, 1,015.97 and 190.37

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Solution

The fourth proportional to 677.31, 1,015.97 and 190.37 is: 285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.31 : 1,015.97 = 190.37 : x
  2. Step 2: Convert to fraction form
    677.31/1,015.97 = 190.37/x
  3. Step 3: Cross multiply
    677.31x = 1,015.97 × 190.37
  4. Step 4: Simplify right side
    677.31x = 193,410.21
  5. Step 5: Solve for x
    x = 193,410.21/677.31
  6. Step 6: Final answer
    x = 285.56

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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.