Home / 1,190.26-1,785.12-459.64

Finding the Fourth Proportional to 1,190.26, 1,785.12 and 459.64

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Solution

The fourth proportional to 1,190.26, 1,785.12 and 459.64 is: 689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.26 : 1,785.12 = 459.64 : x
  2. Step 2: Convert to fraction form
    1,190.26/1,785.12 = 459.64/x
  3. Step 3: Cross multiply
    1,190.26x = 1,785.12 × 459.64
  4. Step 4: Simplify right side
    1,190.26x = 820,512.56
  5. Step 5: Solve for x
    x = 820,512.56/1,190.26
  6. Step 6: Final answer
    x = 689.36

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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.