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Finding the Fourth Proportional to 1,418.82, 1,957.97 and 789.40

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Solution

The fourth proportional to 1,418.82, 1,957.97 and 789.40 is: 1,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.82 : 1,957.97 = 789.40 : x
  2. Step 2: Convert to fraction form
    1,418.82/1,957.97 = 789.40/x
  3. Step 3: Cross multiply
    1,418.82x = 1,957.97 × 789.40
  4. Step 4: Simplify right side
    1,418.82x = 1,545,625.94
  5. Step 5: Solve for x
    x = 1,545,625.94/1,418.82
  6. Step 6: Final answer
    x = 1,089.38

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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.