Home / 1,209.09-1,668.84-743.07

Finding the Fourth Proportional to 1,209.09, 1,668.84 and 743.07

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Solution

The fourth proportional to 1,209.09, 1,668.84 and 743.07 is: 1,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.09 : 1,668.84 = 743.07 : x
  2. Step 2: Convert to fraction form
    1,209.09/1,668.84 = 743.07/x
  3. Step 3: Cross multiply
    1,209.09x = 1,668.84 × 743.07
  4. Step 4: Simplify right side
    1,209.09x = 1,240,052.88
  5. Step 5: Solve for x
    x = 1,240,052.88/1,209.09
  6. Step 6: Final answer
    x = 1,025.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.