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Finding the Fourth Proportional to 471.96, 706.73 and 394.73

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Solution

The fourth proportional to 471.96, 706.73 and 394.73 is: 591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.96 : 706.73 = 394.73 : x
  2. Step 2: Convert to fraction form
    471.96/706.73 = 394.73/x
  3. Step 3: Cross multiply
    471.96x = 706.73 × 394.73
  4. Step 4: Simplify right side
    471.96x = 278,964.49
  5. Step 5: Solve for x
    x = 278,964.49/471.96
  6. Step 6: Final answer
    x = 591.08

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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.