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Finding the Fourth Proportional to 471.43, 706.24 and 394.89

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Solution

The fourth proportional to 471.43, 706.24 and 394.89 is: 591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.43 : 706.24 = 394.89 : x
  2. Step 2: Convert to fraction form
    471.43/706.24 = 394.89/x
  3. Step 3: Cross multiply
    471.43x = 706.24 × 394.89
  4. Step 4: Simplify right side
    471.43x = 278,887.11
  5. Step 5: Solve for x
    x = 278,887.11/471.43
  6. Step 6: Final answer
    x = 591.58

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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.