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Finding the Fourth Proportional to 409.00, 612.66 and 331.54

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Solution

The fourth proportional to 409.00, 612.66 and 331.54 is: 496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.00 : 612.66 = 331.54 : x
  2. Step 2: Convert to fraction form
    409.00/612.66 = 331.54/x
  3. Step 3: Cross multiply
    409.00x = 612.66 × 331.54
  4. Step 4: Simplify right side
    409.00x = 203,124.45
  5. Step 5: Solve for x
    x = 203,124.45/409.00
  6. Step 6: Final answer
    x = 496.64

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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.