Home / 1,450.21-2,001.38-820.49

Finding the Fourth Proportional to 1,450.21, 2,001.38 and 820.49

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Solution

The fourth proportional to 1,450.21, 2,001.38 and 820.49 is: 1,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.21 : 2,001.38 = 820.49 : x
  2. Step 2: Convert to fraction form
    1,450.21/2,001.38 = 820.49/x
  3. Step 3: Cross multiply
    1,450.21x = 2,001.38 × 820.49
  4. Step 4: Simplify right side
    1,450.21x = 1,642,115.05
  5. Step 5: Solve for x
    x = 1,642,115.05/1,450.21
  6. Step 6: Final answer
    x = 1,132.33

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1.5x scale

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.