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Finding the Fourth Proportional to 1,121.85, 1,682.37 and 392.04

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Solution

The fourth proportional to 1,121.85, 1,682.37 and 392.04 is: 587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.85 : 1,682.37 = 392.04 : x
  2. Step 2: Convert to fraction form
    1,121.85/1,682.37 = 392.04/x
  3. Step 3: Cross multiply
    1,121.85x = 1,682.37 × 392.04
  4. Step 4: Simplify right side
    1,121.85x = 659,556.33
  5. Step 5: Solve for x
    x = 659,556.33/1,121.85
  6. Step 6: Final answer
    x = 587.92

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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.