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Finding the Fourth Proportional to 546.73, 754.63 and 422.19

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Solution

The fourth proportional to 546.73, 754.63 and 422.19 is: 582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.73 : 754.63 = 422.19 : x
  2. Step 2: Convert to fraction form
    546.73/754.63 = 422.19/x
  3. Step 3: Cross multiply
    546.73x = 754.63 × 422.19
  4. Step 4: Simplify right side
    546.73x = 318,596.18
  5. Step 5: Solve for x
    x = 318,596.18/546.73
  6. Step 6: Final answer
    x = 582.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.