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Finding the Fourth Proportional to 680.91, 939.59 and 460.16

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Solution

The fourth proportional to 680.91, 939.59 and 460.16 is: 634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.91 : 939.59 = 460.16 : x
  2. Step 2: Convert to fraction form
    680.91/939.59 = 460.16/x
  3. Step 3: Cross multiply
    680.91x = 939.59 × 460.16
  4. Step 4: Simplify right side
    680.91x = 432,360.54
  5. Step 5: Solve for x
    x = 432,360.54/680.91
  6. Step 6: Final answer
    x = 634.97

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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.