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Finding the Fourth Proportional to 648.30, 967.92 and 641.46

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Solution

The fourth proportional to 648.30, 967.92 and 641.46 is: 957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.30 : 967.92 = 641.46 : x
  2. Step 2: Convert to fraction form
    648.30/967.92 = 641.46/x
  3. Step 3: Cross multiply
    648.30x = 967.92 × 641.46
  4. Step 4: Simplify right side
    648.30x = 620,881.96
  5. Step 5: Solve for x
    x = 620,881.96/648.30
  6. Step 6: Final answer
    x = 957.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.