Home / 1,146.20-1,716.96-820.76

Finding the Fourth Proportional to 1,146.20, 1,716.96 and 820.76

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Solution

The fourth proportional to 1,146.20, 1,716.96 and 820.76 is: 1,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.20 : 1,716.96 = 820.76 : x
  2. Step 2: Convert to fraction form
    1,146.20/1,716.96 = 820.76/x
  3. Step 3: Cross multiply
    1,146.20x = 1,716.96 × 820.76
  4. Step 4: Simplify right side
    1,146.20x = 1,409,212.09
  5. Step 5: Solve for x
    x = 1,409,212.09/1,146.20
  6. Step 6: Final answer
    x = 1,229.46

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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.