Home / 1,419.17-1,958.40-789.66

Finding the Fourth Proportional to 1,419.17, 1,958.40 and 789.66

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Solution

The fourth proportional to 1,419.17, 1,958.40 and 789.66 is: 1,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.17 : 1,958.40 = 789.66 : x
  2. Step 2: Convert to fraction form
    1,419.17/1,958.40 = 789.66/x
  3. Step 3: Cross multiply
    1,419.17x = 1,958.40 × 789.66
  4. Step 4: Simplify right side
    1,419.17x = 1,546,470.14
  5. Step 5: Solve for x
    x = 1,546,470.14/1,419.17
  6. Step 6: Final answer
    x = 1,089.70

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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.