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Finding the Fourth Proportional to 764.26, 1,147 and 277.66

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Solution

The fourth proportional to 764.26, 1,147 and 277.66 is: 416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.26 : 1,147 = 277.66 : x
  2. Step 2: Convert to fraction form
    764.26/1,147 = 277.66/x
  3. Step 3: Cross multiply
    764.26x = 1,147 × 277.66
  4. Step 4: Simplify right side
    764.26x = 318,476.02
  5. Step 5: Solve for x
    x = 318,476.02/764.26
  6. Step 6: Final answer
    x = 416.71

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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.