Home / 1,419.15-1,958.14-829.57

Finding the Fourth Proportional to 1,419.15, 1,958.14 and 829.57

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Solution

The fourth proportional to 1,419.15, 1,958.14 and 829.57 is: 1,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.15 : 1,958.14 = 829.57 : x
  2. Step 2: Convert to fraction form
    1,419.15/1,958.14 = 829.57/x
  3. Step 3: Cross multiply
    1,419.15x = 1,958.14 × 829.57
  4. Step 4: Simplify right side
    1,419.15x = 1,624,414.20
  5. Step 5: Solve for x
    x = 1,624,414.20/1,419.15
  6. Step 6: Final answer
    x = 1,144.64

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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.