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Finding the Fourth Proportional to 843.91, 1,265.86 and 324.14

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Solution

The fourth proportional to 843.91, 1,265.86 and 324.14 is: 486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.91 : 1,265.86 = 324.14 : x
  2. Step 2: Convert to fraction form
    843.91/1,265.86 = 324.14/x
  3. Step 3: Cross multiply
    843.91x = 1,265.86 × 324.14
  4. Step 4: Simplify right side
    843.91x = 410,315.86
  5. Step 5: Solve for x
    x = 410,315.86/843.91
  6. Step 6: Final answer
    x = 486.21

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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.