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Finding the Fourth Proportional to 1,418.85, 1,958.03 and 789.45

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Solution

The fourth proportional to 1,418.85, 1,958.03 and 789.45 is: 1,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.85 : 1,958.03 = 789.45 : x
  2. Step 2: Convert to fraction form
    1,418.85/1,958.03 = 789.45/x
  3. Step 3: Cross multiply
    1,418.85x = 1,958.03 × 789.45
  4. Step 4: Simplify right side
    1,418.85x = 1,545,762.84
  5. Step 5: Solve for x
    x = 1,545,762.84/1,418.85
  6. Step 6: Final answer
    x = 1,089.45

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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.