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Finding the Fourth Proportional to 764.92, 1,142.20 and 665.56

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Solution

The fourth proportional to 764.92, 1,142.20 and 665.56 is: 993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.92 : 1,142.20 = 665.56 : x
  2. Step 2: Convert to fraction form
    764.92/1,142.20 = 665.56/x
  3. Step 3: Cross multiply
    764.92x = 1,142.20 × 665.56
  4. Step 4: Simplify right side
    764.92x = 760,202.63
  5. Step 5: Solve for x
    x = 760,202.63/764.92
  6. Step 6: Final answer
    x = 993.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.