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Finding the Fourth Proportional to 548.72, 756.41 and 450.31

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Solution

The fourth proportional to 548.72, 756.41 and 450.31 is: 620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 756.41 = 450.31 : x
  2. Step 2: Convert to fraction form
    548.72/756.41 = 450.31/x
  3. Step 3: Cross multiply
    548.72x = 756.41 × 450.31
  4. Step 4: Simplify right side
    548.72x = 340,620.06
  5. Step 5: Solve for x
    x = 340,620.06/548.72
  6. Step 6: Final answer
    x = 620.75

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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.