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Finding the Fourth Proportional to 548.93, 820.89 and 410.20

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Solution

The fourth proportional to 548.93, 820.89 and 410.20 is: 613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.93 : 820.89 = 410.20 : x
  2. Step 2: Convert to fraction form
    548.93/820.89 = 410.20/x
  3. Step 3: Cross multiply
    548.93x = 820.89 × 410.20
  4. Step 4: Simplify right side
    548.93x = 336,729.08
  5. Step 5: Solve for x
    x = 336,729.08/548.93
  6. Step 6: Final answer
    x = 613.43

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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.