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Finding the Fourth Proportional to 605.06, 908.20 and 442.25

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Solution

The fourth proportional to 605.06, 908.20 and 442.25 is: 663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.06 : 908.20 = 442.25 : x
  2. Step 2: Convert to fraction form
    605.06/908.20 = 442.25/x
  3. Step 3: Cross multiply
    605.06x = 908.20 × 442.25
  4. Step 4: Simplify right side
    605.06x = 401,651.45
  5. Step 5: Solve for x
    x = 401,651.45/605.06
  6. Step 6: Final answer
    x = 663.82

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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.