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Finding the Fourth Proportional to 492.60, 679.57 and 326.77

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Solution

The fourth proportional to 492.60, 679.57 and 326.77 is: 450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.60 : 679.57 = 326.77 : x
  2. Step 2: Convert to fraction form
    492.60/679.57 = 326.77/x
  3. Step 3: Cross multiply
    492.60x = 679.57 × 326.77
  4. Step 4: Simplify right side
    492.60x = 222,063.09
  5. Step 5: Solve for x
    x = 222,063.09/492.60
  6. Step 6: Final answer
    x = 450.80

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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.