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Finding the Fourth Proportional to 547.70, 820.71 and 273.47

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Solution

The fourth proportional to 547.70, 820.71 and 273.47 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 820.71 = 273.47 : x
  2. Step 2: Convert to fraction form
    547.70/820.71 = 273.47/x
  3. Step 3: Cross multiply
    547.70x = 820.71 × 273.47
  4. Step 4: Simplify right side
    547.70x = 224,435.46
  5. Step 5: Solve for x
    x = 224,435.46/547.70
  6. Step 6: Final answer
    x = 409.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.