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Finding the Fourth Proportional to 547.28, 814.96 and 541.22

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Solution

The fourth proportional to 547.28, 814.96 and 541.22 is: 805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 814.96 = 541.22 : x
  2. Step 2: Convert to fraction form
    547.28/814.96 = 541.22/x
  3. Step 3: Cross multiply
    547.28x = 814.96 × 541.22
  4. Step 4: Simplify right side
    547.28x = 441,072.65
  5. Step 5: Solve for x
    x = 441,072.65/547.28
  6. Step 6: Final answer
    x = 805.94

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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.