Home / 1,574.09-2,361.26-419.69

Finding the Fourth Proportional to 1,574.09, 2,361.26 and 419.69

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Solution

The fourth proportional to 1,574.09, 2,361.26 and 419.69 is: 629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.09 : 2,361.26 = 419.69 : x
  2. Step 2: Convert to fraction form
    1,574.09/2,361.26 = 419.69/x
  3. Step 3: Cross multiply
    1,574.09x = 2,361.26 × 419.69
  4. Step 4: Simplify right side
    1,574.09x = 990,997.21
  5. Step 5: Solve for x
    x = 990,997.21/1,574.09
  6. Step 6: Final answer
    x = 629.57

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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.