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Finding the Fourth Proportional to 546.25, 822.46 and 481.67

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Solution

The fourth proportional to 546.25, 822.46 and 481.67 is: 725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.25 : 822.46 = 481.67 : x
  2. Step 2: Convert to fraction form
    546.25/822.46 = 481.67/x
  3. Step 3: Cross multiply
    546.25x = 822.46 × 481.67
  4. Step 4: Simplify right side
    546.25x = 396,150.20
  5. Step 5: Solve for x
    x = 396,150.20/546.25
  6. Step 6: Final answer
    x = 725.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.