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Finding the Fourth Proportional to 547.32, 820.29 and 273.49

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Solution

The fourth proportional to 547.32, 820.29 and 273.49 is: 409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.32 : 820.29 = 273.49 : x
  2. Step 2: Convert to fraction form
    547.32/820.29 = 273.49/x
  3. Step 3: Cross multiply
    547.32x = 820.29 × 273.49
  4. Step 4: Simplify right side
    547.32x = 224,339.75
  5. Step 5: Solve for x
    x = 224,339.75/547.32
  6. Step 6: Final answer
    x = 409.89

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Double scale
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Similar ratio
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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.