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Finding the Fourth Proportional to 549.59, 823.97 and 403.28

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Solution

The fourth proportional to 549.59, 823.97 and 403.28 is: 604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.59 : 823.97 = 403.28 : x
  2. Step 2: Convert to fraction form
    549.59/823.97 = 403.28/x
  3. Step 3: Cross multiply
    549.59x = 823.97 × 403.28
  4. Step 4: Simplify right side
    549.59x = 332,290.60
  5. Step 5: Solve for x
    x = 332,290.60/549.59
  6. Step 6: Final answer
    x = 604.62

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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.