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Finding the Fourth Proportional to 543.63, 814.33 and 323.58

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Solution

The fourth proportional to 543.63, 814.33 and 323.58 is: 484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.63 : 814.33 = 323.58 : x
  2. Step 2: Convert to fraction form
    543.63/814.33 = 323.58/x
  3. Step 3: Cross multiply
    543.63x = 814.33 × 323.58
  4. Step 4: Simplify right side
    543.63x = 263,500.90
  5. Step 5: Solve for x
    x = 263,500.90/543.63
  6. Step 6: Final answer
    x = 484.71

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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.