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Finding the Fourth Proportional to 654.75, 982.73 and 609.49

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Solution

The fourth proportional to 654.75, 982.73 and 609.49 is: 914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 982.73 = 609.49 : x
  2. Step 2: Convert to fraction form
    654.75/982.73 = 609.49/x
  3. Step 3: Cross multiply
    654.75x = 982.73 × 609.49
  4. Step 4: Simplify right side
    654.75x = 598,964.11
  5. Step 5: Solve for x
    x = 598,964.11/654.75
  6. Step 6: Final answer
    x = 914.80

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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.