Home / 1,742.24-2,611.80-767.60

Finding the Fourth Proportional to 1,742.24, 2,611.80 and 767.60

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Solution

The fourth proportional to 1,742.24, 2,611.80 and 767.60 is: 1,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.24 : 2,611.80 = 767.60 : x
  2. Step 2: Convert to fraction form
    1,742.24/2,611.80 = 767.60/x
  3. Step 3: Cross multiply
    1,742.24x = 2,611.80 × 767.60
  4. Step 4: Simplify right side
    1,742.24x = 2,004,817.68
  5. Step 5: Solve for x
    x = 2,004,817.68/1,742.24
  6. Step 6: Final answer
    x = 1,150.71

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1.5x scale

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.