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Finding the Fourth Proportional to 764.78, 1,147.16 and 331.83

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Solution

The fourth proportional to 764.78, 1,147.16 and 331.83 is: 497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.78 : 1,147.16 = 331.83 : x
  2. Step 2: Convert to fraction form
    764.78/1,147.16 = 331.83/x
  3. Step 3: Cross multiply
    764.78x = 1,147.16 × 331.83
  4. Step 4: Simplify right side
    764.78x = 380,662.10
  5. Step 5: Solve for x
    x = 380,662.10/764.78
  6. Step 6: Final answer
    x = 497.74

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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.