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Finding the Fourth Proportional to 544.08, 814.96 and 326.96

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Solution

The fourth proportional to 544.08, 814.96 and 326.96 is: 489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.08 : 814.96 = 326.96 : x
  2. Step 2: Convert to fraction form
    544.08/814.96 = 326.96/x
  3. Step 3: Cross multiply
    544.08x = 814.96 × 326.96
  4. Step 4: Simplify right side
    544.08x = 266,459.32
  5. Step 5: Solve for x
    x = 266,459.32/544.08
  6. Step 6: Final answer
    x = 489.74

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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.