Home / 1,189.16-1,783.49-323.27

Finding the Fourth Proportional to 1,189.16, 1,783.49 and 323.27

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Solution

The fourth proportional to 1,189.16, 1,783.49 and 323.27 is: 484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.16 : 1,783.49 = 323.27 : x
  2. Step 2: Convert to fraction form
    1,189.16/1,783.49 = 323.27/x
  3. Step 3: Cross multiply
    1,189.16x = 1,783.49 × 323.27
  4. Step 4: Simplify right side
    1,189.16x = 576,538.28
  5. Step 5: Solve for x
    x = 576,538.28/1,189.16
  6. Step 6: Final answer
    x = 484.83

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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.