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Finding the Fourth Proportional to 548.50, 822.87 and 183.55

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Solution

The fourth proportional to 548.50, 822.87 and 183.55 is: 275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.50 : 822.87 = 183.55 : x
  2. Step 2: Convert to fraction form
    548.50/822.87 = 183.55/x
  3. Step 3: Cross multiply
    548.50x = 822.87 × 183.55
  4. Step 4: Simplify right side
    548.50x = 151,037.79
  5. Step 5: Solve for x
    x = 151,037.79/548.50
  6. Step 6: Final answer
    x = 275.37

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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.