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Finding the Fourth Proportional to 547.53, 821.70 and 273.75

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Solution

The fourth proportional to 547.53, 821.70 and 273.75 is: 410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.53 : 821.70 = 273.75 : x
  2. Step 2: Convert to fraction form
    547.53/821.70 = 273.75/x
  3. Step 3: Cross multiply
    547.53x = 821.70 × 273.75
  4. Step 4: Simplify right side
    547.53x = 224,940.38
  5. Step 5: Solve for x
    x = 224,940.38/547.53
  6. Step 6: Final answer
    x = 410.83

Related Problems

Find fourth proportional to 273.77, 410.85 and 136.88
Half scale
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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.