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Finding the Fourth Proportional to 548.92, 757.74 and 411.32

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Solution

The fourth proportional to 548.92, 757.74 and 411.32 is: 567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.92 : 757.74 = 411.32 : x
  2. Step 2: Convert to fraction form
    548.92/757.74 = 411.32/x
  3. Step 3: Cross multiply
    548.92x = 757.74 × 411.32
  4. Step 4: Simplify right side
    548.92x = 311,673.62
  5. Step 5: Solve for x
    x = 311,673.62/548.92
  6. Step 6: Final answer
    x = 567.79

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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.