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Finding the Fourth Proportional to 546.65, 754.73 and 422.09

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Solution

The fourth proportional to 546.65, 754.73 and 422.09 is: 582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.65 : 754.73 = 422.09 : x
  2. Step 2: Convert to fraction form
    546.65/754.73 = 422.09/x
  3. Step 3: Cross multiply
    546.65x = 754.73 × 422.09
  4. Step 4: Simplify right side
    546.65x = 318,558.10
  5. Step 5: Solve for x
    x = 318,558.10/546.65
  6. Step 6: Final answer
    x = 582.75

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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.