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Finding the Fourth Proportional to 868.15, 1,197.36 and 768.67

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Solution

The fourth proportional to 868.15, 1,197.36 and 768.67 is: 1,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.15 : 1,197.36 = 768.67 : x
  2. Step 2: Convert to fraction form
    868.15/1,197.36 = 768.67/x
  3. Step 3: Cross multiply
    868.15x = 1,197.36 × 768.67
  4. Step 4: Simplify right side
    868.15x = 920,371.72
  5. Step 5: Solve for x
    x = 920,371.72/868.15
  6. Step 6: Final answer
    x = 1,060.16

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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.