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Finding the Fourth Proportional to 1,419.05, 1,957.42 and 998.66

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Solution

The fourth proportional to 1,419.05, 1,957.42 and 998.66 is: 1,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.05 : 1,957.42 = 998.66 : x
  2. Step 2: Convert to fraction form
    1,419.05/1,957.42 = 998.66/x
  3. Step 3: Cross multiply
    1,419.05x = 1,957.42 × 998.66
  4. Step 4: Simplify right side
    1,419.05x = 1,954,797.06
  5. Step 5: Solve for x
    x = 1,954,797.06/1,419.05
  6. Step 6: Final answer
    x = 1,377.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.