Home / 1,343.09-2,014.67-764.75

Finding the Fourth Proportional to 1,343.09, 2,014.67 and 764.75

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Solution

The fourth proportional to 1,343.09, 2,014.67 and 764.75 is: 1,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.09 : 2,014.67 = 764.75 : x
  2. Step 2: Convert to fraction form
    1,343.09/2,014.67 = 764.75/x
  3. Step 3: Cross multiply
    1,343.09x = 2,014.67 × 764.75
  4. Step 4: Simplify right side
    1,343.09x = 1,540,715.06
  5. Step 5: Solve for x
    x = 1,540,715.06/1,343.09
  6. Step 6: Final answer
    x = 1,147.14

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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.