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Finding the Fourth Proportional to 1,811.22, 2,716.65 and 716.46

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Solution

The fourth proportional to 1,811.22, 2,716.65 and 716.46 is: 1,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.22 : 2,716.65 = 716.46 : x
  2. Step 2: Convert to fraction form
    1,811.22/2,716.65 = 716.46/x
  3. Step 3: Cross multiply
    1,811.22x = 2,716.65 × 716.46
  4. Step 4: Simplify right side
    1,811.22x = 1,946,371.06
  5. Step 5: Solve for x
    x = 1,946,371.06/1,811.22
  6. Step 6: Final answer
    x = 1,074.62

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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.