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Finding the Fourth Proportional to 1,311.82, 1,965.68 and 764.26

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Solution

The fourth proportional to 1,311.82, 1,965.68 and 764.26 is: 1,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.82 : 1,965.68 = 764.26 : x
  2. Step 2: Convert to fraction form
    1,311.82/1,965.68 = 764.26/x
  3. Step 3: Cross multiply
    1,311.82x = 1,965.68 × 764.26
  4. Step 4: Simplify right side
    1,311.82x = 1,502,290.60
  5. Step 5: Solve for x
    x = 1,502,290.60/1,311.82
  6. Step 6: Final answer
    x = 1,145.20

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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.