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Finding the Fourth Proportional to 1,108.26, 1,660.56 and 696.37

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Solution

The fourth proportional to 1,108.26, 1,660.56 and 696.37 is: 1,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.26 : 1,660.56 = 696.37 : x
  2. Step 2: Convert to fraction form
    1,108.26/1,660.56 = 696.37/x
  3. Step 3: Cross multiply
    1,108.26x = 1,660.56 × 696.37
  4. Step 4: Simplify right side
    1,108.26x = 1,156,364.17
  5. Step 5: Solve for x
    x = 1,156,364.17/1,108.26
  6. Step 6: Final answer
    x = 1,043.41

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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.