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Finding the Fourth Proportional to 547.22, 819.74 and 258.86

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Solution

The fourth proportional to 547.22, 819.74 and 258.86 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.22 : 819.74 = 258.86 : x
  2. Step 2: Convert to fraction form
    547.22/819.74 = 258.86/x
  3. Step 3: Cross multiply
    547.22x = 819.74 × 258.86
  4. Step 4: Simplify right side
    547.22x = 212,200.59
  5. Step 5: Solve for x
    x = 212,200.59/547.22
  6. Step 6: Final answer
    x = 387.78

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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.