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Finding the Fourth Proportional to 680.62, 940.02 and 460.48

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Solution

The fourth proportional to 680.62, 940.02 and 460.48 is: 635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.62 : 940.02 = 460.48 : x
  2. Step 2: Convert to fraction form
    680.62/940.02 = 460.48/x
  3. Step 3: Cross multiply
    680.62x = 940.02 × 460.48
  4. Step 4: Simplify right side
    680.62x = 432,860.41
  5. Step 5: Solve for x
    x = 432,860.41/680.62
  6. Step 6: Final answer
    x = 635.98

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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.