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Finding the Fourth Proportional to 619.14, 853.92 and 494.58

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Solution

The fourth proportional to 619.14, 853.92 and 494.58 is: 682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.14 : 853.92 = 494.58 : x
  2. Step 2: Convert to fraction form
    619.14/853.92 = 494.58/x
  3. Step 3: Cross multiply
    619.14x = 853.92 × 494.58
  4. Step 4: Simplify right side
    619.14x = 422,331.75
  5. Step 5: Solve for x
    x = 422,331.75/619.14
  6. Step 6: Final answer
    x = 682.13

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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.