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Finding the Fourth Proportional to 548.38, 817.74 and 543.44

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Solution

The fourth proportional to 548.38, 817.74 and 543.44 is: 810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.38 : 817.74 = 543.44 : x
  2. Step 2: Convert to fraction form
    548.38/817.74 = 543.44/x
  3. Step 3: Cross multiply
    548.38x = 817.74 × 543.44
  4. Step 4: Simplify right side
    548.38x = 444,392.63
  5. Step 5: Solve for x
    x = 444,392.63/548.38
  6. Step 6: Final answer
    x = 810.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.