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Finding the Fourth Proportional to 704.81, 1,057.23 and 191.81

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Solution

The fourth proportional to 704.81, 1,057.23 and 191.81 is: 287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.81 : 1,057.23 = 191.81 : x
  2. Step 2: Convert to fraction form
    704.81/1,057.23 = 191.81/x
  3. Step 3: Cross multiply
    704.81x = 1,057.23 × 191.81
  4. Step 4: Simplify right side
    704.81x = 202,789.93
  5. Step 5: Solve for x
    x = 202,789.93/704.81
  6. Step 6: Final answer
    x = 287.72

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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.