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Finding the Fourth Proportional to 543.44, 816.96 and 421.76

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Solution

The fourth proportional to 543.44, 816.96 and 421.76 is: 634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.44 : 816.96 = 421.76 : x
  2. Step 2: Convert to fraction form
    543.44/816.96 = 421.76/x
  3. Step 3: Cross multiply
    543.44x = 816.96 × 421.76
  4. Step 4: Simplify right side
    543.44x = 344,561.05
  5. Step 5: Solve for x
    x = 344,561.05/543.44
  6. Step 6: Final answer
    x = 634.04

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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.