Home / 1,619.44-2,429.47-523.51

Finding the Fourth Proportional to 1,619.44, 2,429.47 and 523.51

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Solution

The fourth proportional to 1,619.44, 2,429.47 and 523.51 is: 785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.44 : 2,429.47 = 523.51 : x
  2. Step 2: Convert to fraction form
    1,619.44/2,429.47 = 523.51/x
  3. Step 3: Cross multiply
    1,619.44x = 2,429.47 × 523.51
  4. Step 4: Simplify right side
    1,619.44x = 1,271,858.61
  5. Step 5: Solve for x
    x = 1,271,858.61/1,619.44
  6. Step 6: Final answer
    x = 785.37

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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.