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Finding the Fourth Proportional to 680.23, 938.93 and 443.77

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Solution

The fourth proportional to 680.23, 938.93 and 443.77 is: 612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.23 : 938.93 = 443.77 : x
  2. Step 2: Convert to fraction form
    680.23/938.93 = 443.77/x
  3. Step 3: Cross multiply
    680.23x = 938.93 × 443.77
  4. Step 4: Simplify right side
    680.23x = 416,668.97
  5. Step 5: Solve for x
    x = 416,668.97/680.23
  6. Step 6: Final answer
    x = 612.54

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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.