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Finding the Fourth Proportional to 548.90, 820.23 and 394.10

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Solution

The fourth proportional to 548.90, 820.23 and 394.10 is: 588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.90 : 820.23 = 394.10 : x
  2. Step 2: Convert to fraction form
    548.90/820.23 = 394.10/x
  3. Step 3: Cross multiply
    548.90x = 820.23 × 394.10
  4. Step 4: Simplify right side
    548.90x = 323,250.67
  5. Step 5: Solve for x
    x = 323,250.67/548.90
  6. Step 6: Final answer
    x = 588.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.