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Finding the Fourth Proportional to 680.53, 1,020.81 and 193.58

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Solution

The fourth proportional to 680.53, 1,020.81 and 193.58 is: 290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.53 : 1,020.81 = 193.58 : x
  2. Step 2: Convert to fraction form
    680.53/1,020.81 = 193.58/x
  3. Step 3: Cross multiply
    680.53x = 1,020.81 × 193.58
  4. Step 4: Simplify right side
    680.53x = 197,610.47
  5. Step 5: Solve for x
    x = 197,610.47/680.53
  6. Step 6: Final answer
    x = 290.38

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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.