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Finding the Fourth Proportional to 680.23, 938.56 and 512.36

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Solution

The fourth proportional to 680.23, 938.56 and 512.36 is: 706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.23 : 938.56 = 512.36 : x
  2. Step 2: Convert to fraction form
    680.23/938.56 = 512.36/x
  3. Step 3: Cross multiply
    680.23x = 938.56 × 512.36
  4. Step 4: Simplify right side
    680.23x = 480,880.60
  5. Step 5: Solve for x
    x = 480,880.60/680.23
  6. Step 6: Final answer
    x = 706.94

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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.