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Finding the Fourth Proportional to 648.67, 972.99 and 161.72

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Solution

The fourth proportional to 648.67, 972.99 and 161.72 is: 242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.67 : 972.99 = 161.72 : x
  2. Step 2: Convert to fraction form
    648.67/972.99 = 161.72/x
  3. Step 3: Cross multiply
    648.67x = 972.99 × 161.72
  4. Step 4: Simplify right side
    648.67x = 157,351.94
  5. Step 5: Solve for x
    x = 157,351.94/648.67
  6. Step 6: Final answer
    x = 242.58

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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.