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Finding the Fourth Proportional to 842.12, 1,262.94 and 329

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Solution

The fourth proportional to 842.12, 1,262.94 and 329 is: 493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.12 : 1,262.94 = 329 : x
  2. Step 2: Convert to fraction form
    842.12/1,262.94 = 329/x
  3. Step 3: Cross multiply
    842.12x = 1,262.94 × 329
  4. Step 4: Simplify right side
    842.12x = 415,507.26
  5. Step 5: Solve for x
    x = 415,507.26/842.12
  6. Step 6: Final answer
    x = 493.41

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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.