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Finding the Fourth Proportional to 547.39, 820.68 and 273.61

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Solution

The fourth proportional to 547.39, 820.68 and 273.61 is: 410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.39 : 820.68 = 273.61 : x
  2. Step 2: Convert to fraction form
    547.39/820.68 = 273.61/x
  3. Step 3: Cross multiply
    547.39x = 820.68 × 273.61
  4. Step 4: Simplify right side
    547.39x = 224,546.25
  5. Step 5: Solve for x
    x = 224,546.25/547.39
  6. Step 6: Final answer
    x = 410.21

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1.5x scale

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.