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Finding the Fourth Proportional to 654.28, 979.42 and 409.96

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Solution

The fourth proportional to 654.28, 979.42 and 409.96 is: 613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.28 : 979.42 = 409.96 : x
  2. Step 2: Convert to fraction form
    654.28/979.42 = 409.96/x
  3. Step 3: Cross multiply
    654.28x = 979.42 × 409.96
  4. Step 4: Simplify right side
    654.28x = 401,523.02
  5. Step 5: Solve for x
    x = 401,523.02/654.28
  6. Step 6: Final answer
    x = 613.69

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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.