Home / 1,131.97-1,698.36-823.30

Finding the Fourth Proportional to 1,131.97, 1,698.36 and 823.30

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Solution

The fourth proportional to 1,131.97, 1,698.36 and 823.30 is: 1,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.97 : 1,698.36 = 823.30 : x
  2. Step 2: Convert to fraction form
    1,131.97/1,698.36 = 823.30/x
  3. Step 3: Cross multiply
    1,131.97x = 1,698.36 × 823.30
  4. Step 4: Simplify right side
    1,131.97x = 1,398,259.79
  5. Step 5: Solve for x
    x = 1,398,259.79/1,131.97
  6. Step 6: Final answer
    x = 1,235.24

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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.