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Finding the Fourth Proportional to 680.54, 938.39 and 665.46

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Solution

The fourth proportional to 680.54, 938.39 and 665.46 is: 917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.54 : 938.39 = 665.46 : x
  2. Step 2: Convert to fraction form
    680.54/938.39 = 665.46/x
  3. Step 3: Cross multiply
    680.54x = 938.39 × 665.46
  4. Step 4: Simplify right side
    680.54x = 624,457.68
  5. Step 5: Solve for x
    x = 624,457.68/680.54
  6. Step 6: Final answer
    x = 917.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.