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Finding the Fourth Proportional to 654.85, 982.65 and 244.27

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Solution

The fourth proportional to 654.85, 982.65 and 244.27 is: 366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.85 : 982.65 = 244.27 : x
  2. Step 2: Convert to fraction form
    654.85/982.65 = 244.27/x
  3. Step 3: Cross multiply
    654.85x = 982.65 × 244.27
  4. Step 4: Simplify right side
    654.85x = 240,027.00
  5. Step 5: Solve for x
    x = 240,027.00/654.85
  6. Step 6: Final answer
    x = 366.54

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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.