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Finding the Fourth Proportional to 1,161.78, 1,603.17 and 689.73

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Solution

The fourth proportional to 1,161.78, 1,603.17 and 689.73 is: 951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.78 : 1,603.17 = 689.73 : x
  2. Step 2: Convert to fraction form
    1,161.78/1,603.17 = 689.73/x
  3. Step 3: Cross multiply
    1,161.78x = 1,603.17 × 689.73
  4. Step 4: Simplify right side
    1,161.78x = 1,105,754.44
  5. Step 5: Solve for x
    x = 1,105,754.44/1,161.78
  6. Step 6: Final answer
    x = 951.78

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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.