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Finding the Fourth Proportional to 680.93, 1,021.37 and 193.98

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Solution

The fourth proportional to 680.93, 1,021.37 and 193.98 is: 290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.93 : 1,021.37 = 193.98 : x
  2. Step 2: Convert to fraction form
    680.93/1,021.37 = 193.98/x
  3. Step 3: Cross multiply
    680.93x = 1,021.37 × 193.98
  4. Step 4: Simplify right side
    680.93x = 198,123.59
  5. Step 5: Solve for x
    x = 198,123.59/680.93
  6. Step 6: Final answer
    x = 290.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.