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Finding the Fourth Proportional to 547.38, 815.22 and 540.90

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Solution

The fourth proportional to 547.38, 815.22 and 540.90 is: 805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 815.22 = 540.90 : x
  2. Step 2: Convert to fraction form
    547.38/815.22 = 540.90/x
  3. Step 3: Cross multiply
    547.38x = 815.22 × 540.90
  4. Step 4: Simplify right side
    547.38x = 440,952.50
  5. Step 5: Solve for x
    x = 440,952.50/547.38
  6. Step 6: Final answer
    x = 805.57

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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.