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Finding the Fourth Proportional to 412.44, 617.82 and 344.60

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Solution

The fourth proportional to 412.44, 617.82 and 344.60 is: 516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.44 : 617.82 = 344.60 : x
  2. Step 2: Convert to fraction form
    412.44/617.82 = 344.60/x
  3. Step 3: Cross multiply
    412.44x = 617.82 × 344.60
  4. Step 4: Simplify right side
    412.44x = 212,900.77
  5. Step 5: Solve for x
    x = 212,900.77/412.44
  6. Step 6: Final answer
    x = 516.20

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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.