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Finding the Fourth Proportional to 853.82, 1,279.81 and 414.15

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Solution

The fourth proportional to 853.82, 1,279.81 and 414.15 is: 620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.82 : 1,279.81 = 414.15 : x
  2. Step 2: Convert to fraction form
    853.82/1,279.81 = 414.15/x
  3. Step 3: Cross multiply
    853.82x = 1,279.81 × 414.15
  4. Step 4: Simplify right side
    853.82x = 530,027.43
  5. Step 5: Solve for x
    x = 530,027.43/853.82
  6. Step 6: Final answer
    x = 620.77

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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.