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Finding the Fourth Proportional to 1,169.91, 1,763.84 and 1,090.60

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Solution

The fourth proportional to 1,169.91, 1,763.84 and 1,090.60 is: 1,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.91 : 1,763.84 = 1,090.60 : x
  2. Step 2: Convert to fraction form
    1,169.91/1,763.84 = 1,090.60/x
  3. Step 3: Cross multiply
    1,169.91x = 1,763.84 × 1,090.60
  4. Step 4: Simplify right side
    1,169.91x = 1,923,642.22
  5. Step 5: Solve for x
    x = 1,923,642.22/1,169.91
  6. Step 6: Final answer
    x = 1,644.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.