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Finding the Fourth Proportional to 546.24, 819.92 and 425.82

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Solution

The fourth proportional to 546.24, 819.92 and 425.82 is: 639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 819.92 = 425.82 : x
  2. Step 2: Convert to fraction form
    546.24/819.92 = 425.82/x
  3. Step 3: Cross multiply
    546.24x = 819.92 × 425.82
  4. Step 4: Simplify right side
    546.24x = 349,138.33
  5. Step 5: Solve for x
    x = 349,138.33/546.24
  6. Step 6: Final answer
    x = 639.17

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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.