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Finding the Fourth Proportional to 548.19, 823.20 and 543.94

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Solution

The fourth proportional to 548.19, 823.20 and 543.94 is: 816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.19 : 823.20 = 543.94 : x
  2. Step 2: Convert to fraction form
    548.19/823.20 = 543.94/x
  3. Step 3: Cross multiply
    548.19x = 823.20 × 543.94
  4. Step 4: Simplify right side
    548.19x = 447,764.57
  5. Step 5: Solve for x
    x = 447,764.57/548.19
  6. Step 6: Final answer
    x = 816.81

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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.