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Finding the Fourth Proportional to 543.68, 755.60 and 537.92

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Solution

The fourth proportional to 543.68, 755.60 and 537.92 is: 747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.68 : 755.60 = 537.92 : x
  2. Step 2: Convert to fraction form
    543.68/755.60 = 537.92/x
  3. Step 3: Cross multiply
    543.68x = 755.60 × 537.92
  4. Step 4: Simplify right side
    543.68x = 406,452.35
  5. Step 5: Solve for x
    x = 406,452.35/543.68
  6. Step 6: Final answer
    x = 747.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.