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Finding the Fourth Proportional to 546.68, 820.08 and 411.44

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Solution

The fourth proportional to 546.68, 820.08 and 411.44 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.68 : 820.08 = 411.44 : x
  2. Step 2: Convert to fraction form
    546.68/820.08 = 411.44/x
  3. Step 3: Cross multiply
    546.68x = 820.08 × 411.44
  4. Step 4: Simplify right side
    546.68x = 337,413.72
  5. Step 5: Solve for x
    x = 337,413.72/546.68
  6. Step 6: Final answer
    x = 617.21

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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.