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Finding the Fourth Proportional to 549.74, 823.42 and 343.69

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Solution

The fourth proportional to 549.74, 823.42 and 343.69 is: 514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.74 : 823.42 = 343.69 : x
  2. Step 2: Convert to fraction form
    549.74/823.42 = 343.69/x
  3. Step 3: Cross multiply
    549.74x = 823.42 × 343.69
  4. Step 4: Simplify right side
    549.74x = 283,002.29
  5. Step 5: Solve for x
    x = 283,002.29/549.74
  6. Step 6: Final answer
    x = 514.80

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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.