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Finding the Fourth Proportional to 704.46, 1,057.23 and 314.31

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Solution

The fourth proportional to 704.46, 1,057.23 and 314.31 is: 471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.46 : 1,057.23 = 314.31 : x
  2. Step 2: Convert to fraction form
    704.46/1,057.23 = 314.31/x
  3. Step 3: Cross multiply
    704.46x = 1,057.23 × 314.31
  4. Step 4: Simplify right side
    704.46x = 332,297.96
  5. Step 5: Solve for x
    x = 332,297.96/704.46
  6. Step 6: Final answer
    x = 471.71

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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.