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Finding the Fourth Proportional to 414.18, 624.08 and 343.62

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Solution

The fourth proportional to 414.18, 624.08 and 343.62 is: 517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.18 : 624.08 = 343.62 : x
  2. Step 2: Convert to fraction form
    414.18/624.08 = 343.62/x
  3. Step 3: Cross multiply
    414.18x = 624.08 × 343.62
  4. Step 4: Simplify right side
    414.18x = 214,444.65
  5. Step 5: Solve for x
    x = 214,444.65/414.18
  6. Step 6: Final answer
    x = 517.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.