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Finding the Fourth Proportional to 1,102.28, 1,640.41 and 1,066.28

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Solution

The fourth proportional to 1,102.28, 1,640.41 and 1,066.28 is: 1,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.28 : 1,640.41 = 1,066.28 : x
  2. Step 2: Convert to fraction form
    1,102.28/1,640.41 = 1,066.28/x
  3. Step 3: Cross multiply
    1,102.28x = 1,640.41 × 1,066.28
  4. Step 4: Simplify right side
    1,102.28x = 1,749,136.37
  5. Step 5: Solve for x
    x = 1,749,136.37/1,102.28
  6. Step 6: Final answer
    x = 1,586.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.