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Finding the Fourth Proportional to 605.16, 906.12 and 329.94

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Solution

The fourth proportional to 605.16, 906.12 and 329.94 is: 494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 906.12 = 329.94 : x
  2. Step 2: Convert to fraction form
    605.16/906.12 = 329.94/x
  3. Step 3: Cross multiply
    605.16x = 906.12 × 329.94
  4. Step 4: Simplify right side
    605.16x = 298,965.23
  5. Step 5: Solve for x
    x = 298,965.23/605.16
  6. Step 6: Final answer
    x = 494.03

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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.