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Finding the Fourth Proportional to 548.72, 824.50 and 412.64

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Solution

The fourth proportional to 548.72, 824.50 and 412.64 is: 620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 824.50 = 412.64 : x
  2. Step 2: Convert to fraction form
    548.72/824.50 = 412.64/x
  3. Step 3: Cross multiply
    548.72x = 824.50 × 412.64
  4. Step 4: Simplify right side
    548.72x = 340,221.68
  5. Step 5: Solve for x
    x = 340,221.68/548.72
  6. Step 6: Final answer
    x = 620.03

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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.