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Finding the Fourth Proportional to 768.38, 1,156.67 and 689

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Solution

The fourth proportional to 768.38, 1,156.67 and 689 is: 1,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.38 : 1,156.67 = 689 : x
  2. Step 2: Convert to fraction form
    768.38/1,156.67 = 689/x
  3. Step 3: Cross multiply
    768.38x = 1,156.67 × 689
  4. Step 4: Simplify right side
    768.38x = 796,945.63
  5. Step 5: Solve for x
    x = 796,945.63/768.38
  6. Step 6: Final answer
    x = 1,037.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.