Home / 1,450.16-2,001.24-984.56

Finding the Fourth Proportional to 1,450.16, 2,001.24 and 984.56

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Solution

The fourth proportional to 1,450.16, 2,001.24 and 984.56 is: 1,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.16 : 2,001.24 = 984.56 : x
  2. Step 2: Convert to fraction form
    1,450.16/2,001.24 = 984.56/x
  3. Step 3: Cross multiply
    1,450.16x = 2,001.24 × 984.56
  4. Step 4: Simplify right side
    1,450.16x = 1,970,340.85
  5. Step 5: Solve for x
    x = 1,970,340.85/1,450.16
  6. Step 6: Final answer
    x = 1,358.71

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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.