Home / 1,419.24-1,958.30-829.76

Finding the Fourth Proportional to 1,419.24, 1,958.30 and 829.76

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Solution

The fourth proportional to 1,419.24, 1,958.30 and 829.76 is: 1,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.24 : 1,958.30 = 829.76 : x
  2. Step 2: Convert to fraction form
    1,419.24/1,958.30 = 829.76/x
  3. Step 3: Cross multiply
    1,419.24x = 1,958.30 × 829.76
  4. Step 4: Simplify right side
    1,419.24x = 1,624,919.01
  5. Step 5: Solve for x
    x = 1,624,919.01/1,419.24
  6. Step 6: Final answer
    x = 1,144.92

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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.