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Finding the Fourth Proportional to 606.58, 910.22 and 329.14

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Solution

The fourth proportional to 606.58, 910.22 and 329.14 is: 493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.58 : 910.22 = 329.14 : x
  2. Step 2: Convert to fraction form
    606.58/910.22 = 329.14/x
  3. Step 3: Cross multiply
    606.58x = 910.22 × 329.14
  4. Step 4: Simplify right side
    606.58x = 299,589.81
  5. Step 5: Solve for x
    x = 299,589.81/606.58
  6. Step 6: Final answer
    x = 493.90

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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.