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Finding the Fourth Proportional to 654.57, 982.20 and 289.61

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Solution

The fourth proportional to 654.57, 982.20 and 289.61 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.57 : 982.20 = 289.61 : x
  2. Step 2: Convert to fraction form
    654.57/982.20 = 289.61/x
  3. Step 3: Cross multiply
    654.57x = 982.20 × 289.61
  4. Step 4: Simplify right side
    654.57x = 284,454.94
  5. Step 5: Solve for x
    x = 284,454.94/654.57
  6. Step 6: Final answer
    x = 434.57

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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.