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Finding the Fourth Proportional to 546.44, 819.74 and 257.64

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Solution

The fourth proportional to 546.44, 819.74 and 257.64 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.44 : 819.74 = 257.64 : x
  2. Step 2: Convert to fraction form
    546.44/819.74 = 257.64/x
  3. Step 3: Cross multiply
    546.44x = 819.74 × 257.64
  4. Step 4: Simplify right side
    546.44x = 211,197.81
  5. Step 5: Solve for x
    x = 211,197.81/546.44
  6. Step 6: Final answer
    x = 386.50

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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.