Home / 1,574.24-2,361.36-419.99

Finding the Fourth Proportional to 1,574.24, 2,361.36 and 419.99

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Solution

The fourth proportional to 1,574.24, 2,361.36 and 419.99 is: 629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.24 : 2,361.36 = 419.99 : x
  2. Step 2: Convert to fraction form
    1,574.24/2,361.36 = 419.99/x
  3. Step 3: Cross multiply
    1,574.24x = 2,361.36 × 419.99
  4. Step 4: Simplify right side
    1,574.24x = 991,735.78
  5. Step 5: Solve for x
    x = 991,735.78/1,574.24
  6. Step 6: Final answer
    x = 629.98

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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.