Home / 1,028.28-1,408.08-986.96

Finding the Fourth Proportional to 1,028.28, 1,408.08 and 986.96

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Solution

The fourth proportional to 1,028.28, 1,408.08 and 986.96 is: 1,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.28 : 1,408.08 = 986.96 : x
  2. Step 2: Convert to fraction form
    1,028.28/1,408.08 = 986.96/x
  3. Step 3: Cross multiply
    1,028.28x = 1,408.08 × 986.96
  4. Step 4: Simplify right side
    1,028.28x = 1,389,718.64
  5. Step 5: Solve for x
    x = 1,389,718.64/1,028.28
  6. Step 6: Final answer
    x = 1,351.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.