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Finding the Fourth Proportional to 548.63, 823.20 and 274.74

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Solution

The fourth proportional to 548.63, 823.20 and 274.74 is: 412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.63 : 823.20 = 274.74 : x
  2. Step 2: Convert to fraction form
    548.63/823.20 = 274.74/x
  3. Step 3: Cross multiply
    548.63x = 823.20 × 274.74
  4. Step 4: Simplify right side
    548.63x = 226,165.97
  5. Step 5: Solve for x
    x = 226,165.97/548.63
  6. Step 6: Final answer
    x = 412.24

Related Problems

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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.