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Finding the Fourth Proportional to 543.69, 816.21 and 397.44

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Solution

The fourth proportional to 543.69, 816.21 and 397.44 is: 596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.69 : 816.21 = 397.44 : x
  2. Step 2: Convert to fraction form
    543.69/816.21 = 397.44/x
  3. Step 3: Cross multiply
    543.69x = 816.21 × 397.44
  4. Step 4: Simplify right side
    543.69x = 324,394.50
  5. Step 5: Solve for x
    x = 324,394.50/543.69
  6. Step 6: Final answer
    x = 596.65

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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.