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Finding the Fourth Proportional to 680.33, 938.77 and 385.59

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Solution

The fourth proportional to 680.33, 938.77 and 385.59 is: 532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.33 : 938.77 = 385.59 : x
  2. Step 2: Convert to fraction form
    680.33/938.77 = 385.59/x
  3. Step 3: Cross multiply
    680.33x = 938.77 × 385.59
  4. Step 4: Simplify right side
    680.33x = 361,980.32
  5. Step 5: Solve for x
    x = 361,980.32/680.33
  6. Step 6: Final answer
    x = 532.07

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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.