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Finding the Fourth Proportional to 764.16, 1,147.04 and 331.62

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Solution

The fourth proportional to 764.16, 1,147.04 and 331.62 is: 497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.16 : 1,147.04 = 331.62 : x
  2. Step 2: Convert to fraction form
    764.16/1,147.04 = 331.62/x
  3. Step 3: Cross multiply
    764.16x = 1,147.04 × 331.62
  4. Step 4: Simplify right side
    764.16x = 380,381.40
  5. Step 5: Solve for x
    x = 380,381.40/764.16
  6. Step 6: Final answer
    x = 497.78

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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.