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Finding the Fourth Proportional to 680.26, 938.67 and 385.51

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Solution

The fourth proportional to 680.26, 938.67 and 385.51 is: 531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.26 : 938.67 = 385.51 : x
  2. Step 2: Convert to fraction form
    680.26/938.67 = 385.51/x
  3. Step 3: Cross multiply
    680.26x = 938.67 × 385.51
  4. Step 4: Simplify right side
    680.26x = 361,866.67
  5. Step 5: Solve for x
    x = 361,866.67/680.26
  6. Step 6: Final answer
    x = 531.95

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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.