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Finding the Fourth Proportional to 764.75, 1,147.23 and 354

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Solution

The fourth proportional to 764.75, 1,147.23 and 354 is: 531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.75 : 1,147.23 = 354 : x
  2. Step 2: Convert to fraction form
    764.75/1,147.23 = 354/x
  3. Step 3: Cross multiply
    764.75x = 1,147.23 × 354
  4. Step 4: Simplify right side
    764.75x = 406,119.42
  5. Step 5: Solve for x
    x = 406,119.42/764.75
  6. Step 6: Final answer
    x = 531.05

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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.