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Finding the Fourth Proportional to 1,106.67, 1,662.12 and 696.63

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Solution

The fourth proportional to 1,106.67, 1,662.12 and 696.63 is: 1,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.67 : 1,662.12 = 696.63 : x
  2. Step 2: Convert to fraction form
    1,106.67/1,662.12 = 696.63/x
  3. Step 3: Cross multiply
    1,106.67x = 1,662.12 × 696.63
  4. Step 4: Simplify right side
    1,106.67x = 1,157,882.66
  5. Step 5: Solve for x
    x = 1,157,882.66/1,106.67
  6. Step 6: Final answer
    x = 1,046.28

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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.