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Finding the Fourth Proportional to 574.98, 863.08 and 344.14

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Solution

The fourth proportional to 574.98, 863.08 and 344.14 is: 516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.98 : 863.08 = 344.14 : x
  2. Step 2: Convert to fraction form
    574.98/863.08 = 344.14/x
  3. Step 3: Cross multiply
    574.98x = 863.08 × 344.14
  4. Step 4: Simplify right side
    574.98x = 297,020.35
  5. Step 5: Solve for x
    x = 297,020.35/574.98
  6. Step 6: Final answer
    x = 516.58

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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.