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Finding the Fourth Proportional to 704.97, 1,057.47 and 191.97

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Solution

The fourth proportional to 704.97, 1,057.47 and 191.97 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.97 : 1,057.47 = 191.97 : x
  2. Step 2: Convert to fraction form
    704.97/1,057.47 = 191.97/x
  3. Step 3: Cross multiply
    704.97x = 1,057.47 × 191.97
  4. Step 4: Simplify right side
    704.97x = 203,002.52
  5. Step 5: Solve for x
    x = 203,002.52/704.97
  6. Step 6: Final answer
    x = 287.96

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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.