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Finding the Fourth Proportional to 471.80, 704.20 and 417.12

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Solution

The fourth proportional to 471.80, 704.20 and 417.12 is: 622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.80 : 704.20 = 417.12 : x
  2. Step 2: Convert to fraction form
    471.80/704.20 = 417.12/x
  3. Step 3: Cross multiply
    471.80x = 704.20 × 417.12
  4. Step 4: Simplify right side
    471.80x = 293,735.90
  5. Step 5: Solve for x
    x = 293,735.90/471.80
  6. Step 6: Final answer
    x = 622.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.