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Finding the Fourth Proportional to 548.40, 822.57 and 183.15

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Solution

The fourth proportional to 548.40, 822.57 and 183.15 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 822.57 = 183.15 : x
  2. Step 2: Convert to fraction form
    548.40/822.57 = 183.15/x
  3. Step 3: Cross multiply
    548.40x = 822.57 × 183.15
  4. Step 4: Simplify right side
    548.40x = 150,653.70
  5. Step 5: Solve for x
    x = 150,653.70/548.40
  6. Step 6: Final answer
    x = 274.71

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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.