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Finding the Fourth Proportional to 549.80, 825.11 and 411.32

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Solution

The fourth proportional to 549.80, 825.11 and 411.32 is: 617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.80 : 825.11 = 411.32 : x
  2. Step 2: Convert to fraction form
    549.80/825.11 = 411.32/x
  3. Step 3: Cross multiply
    549.80x = 825.11 × 411.32
  4. Step 4: Simplify right side
    549.80x = 339,378.06
  5. Step 5: Solve for x
    x = 339,378.06/549.80
  6. Step 6: Final answer
    x = 617.28

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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.