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Finding the Fourth Proportional to 546.49, 819.44 and 285.87

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Solution

The fourth proportional to 546.49, 819.44 and 285.87 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.49 : 819.44 = 285.87 : x
  2. Step 2: Convert to fraction form
    546.49/819.44 = 285.87/x
  3. Step 3: Cross multiply
    546.49x = 819.44 × 285.87
  4. Step 4: Simplify right side
    546.49x = 234,251.31
  5. Step 5: Solve for x
    x = 234,251.31/546.49
  6. Step 6: Final answer
    x = 428.65

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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.