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Finding the Fourth Proportional to 704.97, 1,057.22 and 314.73

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Solution

The fourth proportional to 704.97, 1,057.22 and 314.73 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.97 : 1,057.22 = 314.73 : x
  2. Step 2: Convert to fraction form
    704.97/1,057.22 = 314.73/x
  3. Step 3: Cross multiply
    704.97x = 1,057.22 × 314.73
  4. Step 4: Simplify right side
    704.97x = 332,737.28
  5. Step 5: Solve for x
    x = 332,737.28/704.97
  6. Step 6: Final answer
    x = 471.99

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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.