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Finding the Fourth Proportional to 546.09, 819.11 and 381.08

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Solution

The fourth proportional to 546.09, 819.11 and 381.08 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.09 : 819.11 = 381.08 : x
  2. Step 2: Convert to fraction form
    546.09/819.11 = 381.08/x
  3. Step 3: Cross multiply
    546.09x = 819.11 × 381.08
  4. Step 4: Simplify right side
    546.09x = 312,146.44
  5. Step 5: Solve for x
    x = 312,146.44/546.09
  6. Step 6: Final answer
    x = 571.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.