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Finding the Fourth Proportional to 605.73, 906.49 and 494.76

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Solution

The fourth proportional to 605.73, 906.49 and 494.76 is: 740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.73 : 906.49 = 494.76 : x
  2. Step 2: Convert to fraction form
    605.73/906.49 = 494.76/x
  3. Step 3: Cross multiply
    605.73x = 906.49 × 494.76
  4. Step 4: Simplify right side
    605.73x = 448,493.91
  5. Step 5: Solve for x
    x = 448,493.91/605.73
  6. Step 6: Final answer
    x = 740.42

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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.