Home / 1,431.37-1,974.82-801.80

Finding the Fourth Proportional to 1,431.37, 1,974.82 and 801.80

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Solution

The fourth proportional to 1,431.37, 1,974.82 and 801.80 is: 1,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.37 : 1,974.82 = 801.80 : x
  2. Step 2: Convert to fraction form
    1,431.37/1,974.82 = 801.80/x
  3. Step 3: Cross multiply
    1,431.37x = 1,974.82 × 801.80
  4. Step 4: Simplify right side
    1,431.37x = 1,583,410.68
  5. Step 5: Solve for x
    x = 1,583,410.68/1,431.37
  6. Step 6: Final answer
    x = 1,106.22

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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.