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Finding the Fourth Proportional to 1,086.36, 1,636.34 and 989.46

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Solution

The fourth proportional to 1,086.36, 1,636.34 and 989.46 is: 1,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.36 : 1,636.34 = 989.46 : x
  2. Step 2: Convert to fraction form
    1,086.36/1,636.34 = 989.46/x
  3. Step 3: Cross multiply
    1,086.36x = 1,636.34 × 989.46
  4. Step 4: Simplify right side
    1,086.36x = 1,619,092.98
  5. Step 5: Solve for x
    x = 1,619,092.98/1,086.36
  6. Step 6: Final answer
    x = 1,490.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.