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Finding the Fourth Proportional to 704.90, 1,057.25 and 217.96

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Solution

The fourth proportional to 704.90, 1,057.25 and 217.96 is: 326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.90 : 1,057.25 = 217.96 : x
  2. Step 2: Convert to fraction form
    704.90/1,057.25 = 217.96/x
  3. Step 3: Cross multiply
    704.90x = 1,057.25 × 217.96
  4. Step 4: Simplify right side
    704.90x = 230,436.11
  5. Step 5: Solve for x
    x = 230,436.11/704.90
  6. Step 6: Final answer
    x = 326.90

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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.