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Finding the Fourth Proportional to 549.27, 827.60 and 490.32

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Solution

The fourth proportional to 549.27, 827.60 and 490.32 is: 738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.27 : 827.60 = 490.32 : x
  2. Step 2: Convert to fraction form
    549.27/827.60 = 490.32/x
  3. Step 3: Cross multiply
    549.27x = 827.60 × 490.32
  4. Step 4: Simplify right side
    549.27x = 405,788.83
  5. Step 5: Solve for x
    x = 405,788.83/549.27
  6. Step 6: Final answer
    x = 738.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.