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Finding the Fourth Proportional to 548.72, 822.48 and 274.24

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Solution

The fourth proportional to 548.72, 822.48 and 274.24 is: 411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 822.48 = 274.24 : x
  2. Step 2: Convert to fraction form
    548.72/822.48 = 274.24/x
  3. Step 3: Cross multiply
    548.72x = 822.48 × 274.24
  4. Step 4: Simplify right side
    548.72x = 225,556.92
  5. Step 5: Solve for x
    x = 225,556.92/548.72
  6. Step 6: Final answer
    x = 411.06

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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.