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Finding the Fourth Proportional to 543.88, 814.02 and 338.60

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Solution

The fourth proportional to 543.88, 814.02 and 338.60 is: 506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.88 : 814.02 = 338.60 : x
  2. Step 2: Convert to fraction form
    543.88/814.02 = 338.60/x
  3. Step 3: Cross multiply
    543.88x = 814.02 × 338.60
  4. Step 4: Simplify right side
    543.88x = 275,627.17
  5. Step 5: Solve for x
    x = 275,627.17/543.88
  6. Step 6: Final answer
    x = 506.78

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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.