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Finding the Fourth Proportional to 543.11, 814.66 and 326.63

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Solution

The fourth proportional to 543.11, 814.66 and 326.63 is: 489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.11 : 814.66 = 326.63 : x
  2. Step 2: Convert to fraction form
    543.11/814.66 = 326.63/x
  3. Step 3: Cross multiply
    543.11x = 814.66 × 326.63
  4. Step 4: Simplify right side
    543.11x = 266,093.62
  5. Step 5: Solve for x
    x = 266,093.62/543.11
  6. Step 6: Final answer
    x = 489.95

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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.