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Finding the Fourth Proportional to 764.54, 1,144.97 and 633.57

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Solution

The fourth proportional to 764.54, 1,144.97 and 633.57 is: 948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.54 : 1,144.97 = 633.57 : x
  2. Step 2: Convert to fraction form
    764.54/1,144.97 = 633.57/x
  3. Step 3: Cross multiply
    764.54x = 1,144.97 × 633.57
  4. Step 4: Simplify right side
    764.54x = 725,418.64
  5. Step 5: Solve for x
    x = 725,418.64/764.54
  6. Step 6: Final answer
    x = 948.83

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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.