Home / 1,104.24-1,523.68-731.84

Finding the Fourth Proportional to 1,104.24, 1,523.68 and 731.84

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Solution

The fourth proportional to 1,104.24, 1,523.68 and 731.84 is: 1,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.24 : 1,523.68 = 731.84 : x
  2. Step 2: Convert to fraction form
    1,104.24/1,523.68 = 731.84/x
  3. Step 3: Cross multiply
    1,104.24x = 1,523.68 × 731.84
  4. Step 4: Simplify right side
    1,104.24x = 1,115,089.97
  5. Step 5: Solve for x
    x = 1,115,089.97/1,104.24
  6. Step 6: Final answer
    x = 1,009.83

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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.