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Finding the Fourth Proportional to 417.85, 576.80 and 374.11

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Solution

The fourth proportional to 417.85, 576.80 and 374.11 is: 516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.85 : 576.80 = 374.11 : x
  2. Step 2: Convert to fraction form
    417.85/576.80 = 374.11/x
  3. Step 3: Cross multiply
    417.85x = 576.80 × 374.11
  4. Step 4: Simplify right side
    417.85x = 215,786.65
  5. Step 5: Solve for x
    x = 215,786.65/417.85
  6. Step 6: Final answer
    x = 516.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.