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Finding the Fourth Proportional to 548.14, 822.62 and 259.78

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Solution

The fourth proportional to 548.14, 822.62 and 259.78 is: 389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.14 : 822.62 = 259.78 : x
  2. Step 2: Convert to fraction form
    548.14/822.62 = 259.78/x
  3. Step 3: Cross multiply
    548.14x = 822.62 × 259.78
  4. Step 4: Simplify right side
    548.14x = 213,700.22
  5. Step 5: Solve for x
    x = 213,700.22/548.14
  6. Step 6: Final answer
    x = 389.86

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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.