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Finding the Fourth Proportional to 619.39, 853.77 and 494.65

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Solution

The fourth proportional to 619.39, 853.77 and 494.65 is: 681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.39 : 853.77 = 494.65 : x
  2. Step 2: Convert to fraction form
    619.39/853.77 = 494.65/x
  3. Step 3: Cross multiply
    619.39x = 853.77 × 494.65
  4. Step 4: Simplify right side
    619.39x = 422,317.33
  5. Step 5: Solve for x
    x = 422,317.33/619.39
  6. Step 6: Final answer
    x = 681.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.