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Finding the Fourth Proportional to 548.83, 820.81 and 417.34

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Solution

The fourth proportional to 548.83, 820.81 and 417.34 is: 624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.83 : 820.81 = 417.34 : x
  2. Step 2: Convert to fraction form
    548.83/820.81 = 417.34/x
  3. Step 3: Cross multiply
    548.83x = 820.81 × 417.34
  4. Step 4: Simplify right side
    548.83x = 342,556.85
  5. Step 5: Solve for x
    x = 342,556.85/548.83
  6. Step 6: Final answer
    x = 624.16

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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.