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Finding the Fourth Proportional to 1,812.44, 2,716.70 and 772.26

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Solution

The fourth proportional to 1,812.44, 2,716.70 and 772.26 is: 1,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.44 : 2,716.70 = 772.26 : x
  2. Step 2: Convert to fraction form
    1,812.44/2,716.70 = 772.26/x
  3. Step 3: Cross multiply
    1,812.44x = 2,716.70 × 772.26
  4. Step 4: Simplify right side
    1,812.44x = 2,097,994.88
  5. Step 5: Solve for x
    x = 2,097,994.88/1,812.44
  6. Step 6: Final answer
    x = 1,157.56

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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.