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Finding the Fourth Proportional to 471.15, 704.97 and 333.72

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Solution

The fourth proportional to 471.15, 704.97 and 333.72 is: 499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.15 : 704.97 = 333.72 : x
  2. Step 2: Convert to fraction form
    471.15/704.97 = 333.72/x
  3. Step 3: Cross multiply
    471.15x = 704.97 × 333.72
  4. Step 4: Simplify right side
    471.15x = 235,262.59
  5. Step 5: Solve for x
    x = 235,262.59/471.15
  6. Step 6: Final answer
    x = 499.34

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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.