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Finding the Fourth Proportional to 471.27, 704.85 and 412.14

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Solution

The fourth proportional to 471.27, 704.85 and 412.14 is: 616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.27 : 704.85 = 412.14 : x
  2. Step 2: Convert to fraction form
    471.27/704.85 = 412.14/x
  3. Step 3: Cross multiply
    471.27x = 704.85 × 412.14
  4. Step 4: Simplify right side
    471.27x = 290,496.88
  5. Step 5: Solve for x
    x = 290,496.88/471.27
  6. Step 6: Final answer
    x = 616.41

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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.