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Finding the Fourth Proportional to 764.70, 1,146.84 and 331.75

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Solution

The fourth proportional to 764.70, 1,146.84 and 331.75 is: 497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.70 : 1,146.84 = 331.75 : x
  2. Step 2: Convert to fraction form
    764.70/1,146.84 = 331.75/x
  3. Step 3: Cross multiply
    764.70x = 1,146.84 × 331.75
  4. Step 4: Simplify right side
    764.70x = 380,464.17
  5. Step 5: Solve for x
    x = 380,464.17/764.70
  6. Step 6: Final answer
    x = 497.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.