Home / 1,190.80-1,786.76-460.64

Finding the Fourth Proportional to 1,190.80, 1,786.76 and 460.64

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Solution

The fourth proportional to 1,190.80, 1,786.76 and 460.64 is: 691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.80 : 1,786.76 = 460.64 : x
  2. Step 2: Convert to fraction form
    1,190.80/1,786.76 = 460.64/x
  3. Step 3: Cross multiply
    1,190.80x = 1,786.76 × 460.64
  4. Step 4: Simplify right side
    1,190.80x = 823,053.13
  5. Step 5: Solve for x
    x = 823,053.13/1,190.80
  6. Step 6: Final answer
    x = 691.18

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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.