Home / 1,648.25-2,274.28-984.96

Finding the Fourth Proportional to 1,648.25, 2,274.28 and 984.96

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Solution

The fourth proportional to 1,648.25, 2,274.28 and 984.96 is: 1,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.25 : 2,274.28 = 984.96 : x
  2. Step 2: Convert to fraction form
    1,648.25/2,274.28 = 984.96/x
  3. Step 3: Cross multiply
    1,648.25x = 2,274.28 × 984.96
  4. Step 4: Simplify right side
    1,648.25x = 2,240,072.37
  5. Step 5: Solve for x
    x = 2,240,072.37/1,648.25
  6. Step 6: Final answer
    x = 1,359.06

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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.