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Finding the Fourth Proportional to 605.44, 831.68 and 494.60

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Solution

The fourth proportional to 605.44, 831.68 and 494.60 is: 679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.44 : 831.68 = 494.60 : x
  2. Step 2: Convert to fraction form
    605.44/831.68 = 494.60/x
  3. Step 3: Cross multiply
    605.44x = 831.68 × 494.60
  4. Step 4: Simplify right side
    605.44x = 411,348.93
  5. Step 5: Solve for x
    x = 411,348.93/605.44
  6. Step 6: Final answer
    x = 679.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.