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Finding the Fourth Proportional to 475.36, 713.09 and 415.21

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Solution

The fourth proportional to 475.36, 713.09 and 415.21 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.36 : 713.09 = 415.21 : x
  2. Step 2: Convert to fraction form
    475.36/713.09 = 415.21/x
  3. Step 3: Cross multiply
    475.36x = 713.09 × 415.21
  4. Step 4: Simplify right side
    475.36x = 296,082.10
  5. Step 5: Solve for x
    x = 296,082.10/475.36
  6. Step 6: Final answer
    x = 622.86

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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.