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Finding the Fourth Proportional to 412.46, 617.34 and 330.74

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Solution

The fourth proportional to 412.46, 617.34 and 330.74 is: 495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.46 : 617.34 = 330.74 : x
  2. Step 2: Convert to fraction form
    412.46/617.34 = 330.74/x
  3. Step 3: Cross multiply
    412.46x = 617.34 × 330.74
  4. Step 4: Simplify right side
    412.46x = 204,179.03
  5. Step 5: Solve for x
    x = 204,179.03/412.46
  6. Step 6: Final answer
    x = 495.03

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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.