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Finding the Fourth Proportional to 548.14, 822.76 and 394.24

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Solution

The fourth proportional to 548.14, 822.76 and 394.24 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.14 : 822.76 = 394.24 : x
  2. Step 2: Convert to fraction form
    548.14/822.76 = 394.24/x
  3. Step 3: Cross multiply
    548.14x = 822.76 × 394.24
  4. Step 4: Simplify right side
    548.14x = 324,364.90
  5. Step 5: Solve for x
    x = 324,364.90/548.14
  6. Step 6: Final answer
    x = 591.76

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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.