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Finding the Fourth Proportional to 546.78, 814.22 and 540.72

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Solution

The fourth proportional to 546.78, 814.22 and 540.72 is: 805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 814.22 = 540.72 : x
  2. Step 2: Convert to fraction form
    546.78/814.22 = 540.72/x
  3. Step 3: Cross multiply
    546.78x = 814.22 × 540.72
  4. Step 4: Simplify right side
    546.78x = 440,262.33
  5. Step 5: Solve for x
    x = 440,262.33/546.78
  6. Step 6: Final answer
    x = 805.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.