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Finding the Fourth Proportional to 680.72, 1,021.08 and 193.77

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Solution

The fourth proportional to 680.72, 1,021.08 and 193.77 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.72 : 1,021.08 = 193.77 : x
  2. Step 2: Convert to fraction form
    680.72/1,021.08 = 193.77/x
  3. Step 3: Cross multiply
    680.72x = 1,021.08 × 193.77
  4. Step 4: Simplify right side
    680.72x = 197,853.70
  5. Step 5: Solve for x
    x = 197,853.70/680.72
  6. Step 6: Final answer
    x = 290.66

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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.