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Finding the Fourth Proportional to 819.56, 1,129.38 and 539.48

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Solution

The fourth proportional to 819.56, 1,129.38 and 539.48 is: 743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.56 : 1,129.38 = 539.48 : x
  2. Step 2: Convert to fraction form
    819.56/1,129.38 = 539.48/x
  3. Step 3: Cross multiply
    819.56x = 1,129.38 × 539.48
  4. Step 4: Simplify right side
    819.56x = 609,277.92
  5. Step 5: Solve for x
    x = 609,277.92/819.56
  6. Step 6: Final answer
    x = 743.42

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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.