Home / 1,189.44-1,786.90-702.84

Finding the Fourth Proportional to 1,189.44, 1,786.90 and 702.84

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Solution

The fourth proportional to 1,189.44, 1,786.90 and 702.84 is: 1,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.44 : 1,786.90 = 702.84 : x
  2. Step 2: Convert to fraction form
    1,189.44/1,786.90 = 702.84/x
  3. Step 3: Cross multiply
    1,189.44x = 1,786.90 × 702.84
  4. Step 4: Simplify right side
    1,189.44x = 1,255,904.80
  5. Step 5: Solve for x
    x = 1,255,904.80/1,189.44
  6. Step 6: Final answer
    x = 1,055.88

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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.