Home / 1,190.23-1,785.31-540.20

Finding the Fourth Proportional to 1,190.23, 1,785.31 and 540.20

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Solution

The fourth proportional to 1,190.23, 1,785.31 and 540.20 is: 810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.23 : 1,785.31 = 540.20 : x
  2. Step 2: Convert to fraction form
    1,190.23/1,785.31 = 540.20/x
  3. Step 3: Cross multiply
    1,190.23x = 1,785.31 × 540.20
  4. Step 4: Simplify right side
    1,190.23x = 964,427.57
  5. Step 5: Solve for x
    x = 964,427.57/1,190.23
  6. Step 6: Final answer
    x = 810.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.