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Finding the Fourth Proportional to 605.19, 905.79 and 488.85

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Solution

The fourth proportional to 605.19, 905.79 and 488.85 is: 731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.19 : 905.79 = 488.85 : x
  2. Step 2: Convert to fraction form
    605.19/905.79 = 488.85/x
  3. Step 3: Cross multiply
    605.19x = 905.79 × 488.85
  4. Step 4: Simplify right side
    605.19x = 442,795.44
  5. Step 5: Solve for x
    x = 442,795.44/605.19
  6. Step 6: Final answer
    x = 731.66

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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.