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Finding the Fourth Proportional to 852.82, 1,279.60 and 414.41

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Solution

The fourth proportional to 852.82, 1,279.60 and 414.41 is: 621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.82 : 1,279.60 = 414.41 : x
  2. Step 2: Convert to fraction form
    852.82/1,279.60 = 414.41/x
  3. Step 3: Cross multiply
    852.82x = 1,279.60 × 414.41
  4. Step 4: Simplify right side
    852.82x = 530,270.57
  5. Step 5: Solve for x
    x = 530,270.57/852.82
  6. Step 6: Final answer
    x = 621.79

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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.