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Finding the Fourth Proportional to 654.89, 982.31 and 192.65

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Solution

The fourth proportional to 654.89, 982.31 and 192.65 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.89 : 982.31 = 192.65 : x
  2. Step 2: Convert to fraction form
    654.89/982.31 = 192.65/x
  3. Step 3: Cross multiply
    654.89x = 982.31 × 192.65
  4. Step 4: Simplify right side
    654.89x = 189,236.15
  5. Step 5: Solve for x
    x = 189,236.15/654.89
  6. Step 6: Final answer
    x = 288.96

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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.