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Finding the Fourth Proportional to 3,104.65, 4,657.03 and 764.66

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Solution

The fourth proportional to 3,104.65, 4,657.03 and 764.66 is: 1,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.65 : 4,657.03 = 764.66 : x
  2. Step 2: Convert to fraction form
    3,104.65/4,657.03 = 764.66/x
  3. Step 3: Cross multiply
    3,104.65x = 4,657.03 × 764.66
  4. Step 4: Simplify right side
    3,104.65x = 3,561,044.56
  5. Step 5: Solve for x
    x = 3,561,044.56/3,104.65
  6. Step 6: Final answer
    x = 1,147.00

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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.