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Finding the Fourth Proportional to 414.12, 624.19 and 391.85

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Solution

The fourth proportional to 414.12, 624.19 and 391.85 is: 590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.12 : 624.19 = 391.85 : x
  2. Step 2: Convert to fraction form
    414.12/624.19 = 391.85/x
  3. Step 3: Cross multiply
    414.12x = 624.19 × 391.85
  4. Step 4: Simplify right side
    414.12x = 244,588.85
  5. Step 5: Solve for x
    x = 244,588.85/414.12
  6. Step 6: Final answer
    x = 590.62

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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.