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Finding the Fourth Proportional to 548.81, 758.33 and 406.82

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Solution

The fourth proportional to 548.81, 758.33 and 406.82 is: 562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.81 : 758.33 = 406.82 : x
  2. Step 2: Convert to fraction form
    548.81/758.33 = 406.82/x
  3. Step 3: Cross multiply
    548.81x = 758.33 × 406.82
  4. Step 4: Simplify right side
    548.81x = 308,497.98
  5. Step 5: Solve for x
    x = 308,497.98/548.81
  6. Step 6: Final answer
    x = 562.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.