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Finding the Fourth Proportional to 2,407.70, 3,611.67 and 764.37

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Solution

The fourth proportional to 2,407.70, 3,611.67 and 764.37 is: 1,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.70 : 3,611.67 = 764.37 : x
  2. Step 2: Convert to fraction form
    2,407.70/3,611.67 = 764.37/x
  3. Step 3: Cross multiply
    2,407.70x = 3,611.67 × 764.37
  4. Step 4: Simplify right side
    2,407.70x = 2,760,650.29
  5. Step 5: Solve for x
    x = 2,760,650.29/2,407.70
  6. Step 6: Final answer
    x = 1,146.59

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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.