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Finding the Fourth Proportional to 492.61, 679.92 and 326.83

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Solution

The fourth proportional to 492.61, 679.92 and 326.83 is: 451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.61 : 679.92 = 326.83 : x
  2. Step 2: Convert to fraction form
    492.61/679.92 = 326.83/x
  3. Step 3: Cross multiply
    492.61x = 679.92 × 326.83
  4. Step 4: Simplify right side
    492.61x = 222,218.25
  5. Step 5: Solve for x
    x = 222,218.25/492.61
  6. Step 6: Final answer
    x = 451.10

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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.