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Finding the Fourth Proportional to 546.75, 819.52 and 273.07

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Solution

The fourth proportional to 546.75, 819.52 and 273.07 is: 409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 819.52 = 273.07 : x
  2. Step 2: Convert to fraction form
    546.75/819.52 = 273.07/x
  3. Step 3: Cross multiply
    546.75x = 819.52 × 273.07
  4. Step 4: Simplify right side
    546.75x = 223,786.67
  5. Step 5: Solve for x
    x = 223,786.67/546.75
  6. Step 6: Final answer
    x = 409.30

Related Problems

Find fourth proportional to 273.38, 409.76 and 136.54
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.