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Finding the Fourth Proportional to 409.14, 612.92 and 344.57

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Solution

The fourth proportional to 409.14, 612.92 and 344.57 is: 516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 612.92 = 344.57 : x
  2. Step 2: Convert to fraction form
    409.14/612.92 = 344.57/x
  3. Step 3: Cross multiply
    409.14x = 612.92 × 344.57
  4. Step 4: Simplify right side
    409.14x = 211,189.06
  5. Step 5: Solve for x
    x = 211,189.06/409.14
  6. Step 6: Final answer
    x = 516.18

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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.