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Finding the Fourth Proportional to 412.49, 620.15 and 331.89

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Solution

The fourth proportional to 412.49, 620.15 and 331.89 is: 498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 620.15 = 331.89 : x
  2. Step 2: Convert to fraction form
    412.49/620.15 = 331.89/x
  3. Step 3: Cross multiply
    412.49x = 620.15 × 331.89
  4. Step 4: Simplify right side
    412.49x = 205,821.58
  5. Step 5: Solve for x
    x = 205,821.58/412.49
  6. Step 6: Final answer
    x = 498.97

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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.