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Finding the Fourth Proportional to 548.77, 823.17 and 183.56

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Solution

The fourth proportional to 548.77, 823.17 and 183.56 is: 275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.77 : 823.17 = 183.56 : x
  2. Step 2: Convert to fraction form
    548.77/823.17 = 183.56/x
  3. Step 3: Cross multiply
    548.77x = 823.17 × 183.56
  4. Step 4: Simplify right side
    548.77x = 151,101.09
  5. Step 5: Solve for x
    x = 151,101.09/548.77
  6. Step 6: Final answer
    x = 275.35

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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.