Home / 1,189.24-1,785.30-758.20

Finding the Fourth Proportional to 1,189.24, 1,785.30 and 758.20

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Solution

The fourth proportional to 1,189.24, 1,785.30 and 758.20 is: 1,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.24 : 1,785.30 = 758.20 : x
  2. Step 2: Convert to fraction form
    1,189.24/1,785.30 = 758.20/x
  3. Step 3: Cross multiply
    1,189.24x = 1,785.30 × 758.20
  4. Step 4: Simplify right side
    1,189.24x = 1,353,614.46
  5. Step 5: Solve for x
    x = 1,353,614.46/1,189.24
  6. Step 6: Final answer
    x = 1,138.22

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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.