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Finding the Fourth Proportional to 648.48, 972.70 and 161.54

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Solution

The fourth proportional to 648.48, 972.70 and 161.54 is: 242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.48 : 972.70 = 161.54 : x
  2. Step 2: Convert to fraction form
    648.48/972.70 = 161.54/x
  3. Step 3: Cross multiply
    648.48x = 972.70 × 161.54
  4. Step 4: Simplify right side
    648.48x = 157,129.96
  5. Step 5: Solve for x
    x = 157,129.96/648.48
  6. Step 6: Final answer
    x = 242.31

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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.