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Finding the Fourth Proportional to 543.21, 749.97 and 418.62

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Solution

The fourth proportional to 543.21, 749.97 and 418.62 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.21 : 749.97 = 418.62 : x
  2. Step 2: Convert to fraction form
    543.21/749.97 = 418.62/x
  3. Step 3: Cross multiply
    543.21x = 749.97 × 418.62
  4. Step 4: Simplify right side
    543.21x = 313,952.44
  5. Step 5: Solve for x
    x = 313,952.44/543.21
  6. Step 6: Final answer
    x = 577.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.