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Finding the Fourth Proportional to 680.07, 1,020.12 and 193.15

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Solution

The fourth proportional to 680.07, 1,020.12 and 193.15 is: 289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.07 : 1,020.12 = 193.15 : x
  2. Step 2: Convert to fraction form
    680.07/1,020.12 = 193.15/x
  3. Step 3: Cross multiply
    680.07x = 1,020.12 × 193.15
  4. Step 4: Simplify right side
    680.07x = 197,036.18
  5. Step 5: Solve for x
    x = 197,036.18/680.07
  6. Step 6: Final answer
    x = 289.73

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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.