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Finding the Fourth Proportional to 1,109.65, 1,660.34 and 696.85

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Solution

The fourth proportional to 1,109.65, 1,660.34 and 696.85 is: 1,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.65 : 1,660.34 = 696.85 : x
  2. Step 2: Convert to fraction form
    1,109.65/1,660.34 = 696.85/x
  3. Step 3: Cross multiply
    1,109.65x = 1,660.34 × 696.85
  4. Step 4: Simplify right side
    1,109.65x = 1,157,007.93
  5. Step 5: Solve for x
    x = 1,157,007.93/1,109.65
  6. Step 6: Final answer
    x = 1,042.68

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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.