Home / 1,419.21-1,958.47-789.70

Finding the Fourth Proportional to 1,419.21, 1,958.47 and 789.70

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Solution

The fourth proportional to 1,419.21, 1,958.47 and 789.70 is: 1,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.21 : 1,958.47 = 789.70 : x
  2. Step 2: Convert to fraction form
    1,419.21/1,958.47 = 789.70/x
  3. Step 3: Cross multiply
    1,419.21x = 1,958.47 × 789.70
  4. Step 4: Simplify right side
    1,419.21x = 1,546,603.76
  5. Step 5: Solve for x
    x = 1,546,603.76/1,419.21
  6. Step 6: Final answer
    x = 1,089.76

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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.