Home / 1,150.21-1,724.27-419.62

Finding the Fourth Proportional to 1,150.21, 1,724.27 and 419.62

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Solution

The fourth proportional to 1,150.21, 1,724.27 and 419.62 is: 629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.21 : 1,724.27 = 419.62 : x
  2. Step 2: Convert to fraction form
    1,150.21/1,724.27 = 419.62/x
  3. Step 3: Cross multiply
    1,150.21x = 1,724.27 × 419.62
  4. Step 4: Simplify right side
    1,150.21x = 723,538.18
  5. Step 5: Solve for x
    x = 723,538.18/1,150.21
  6. Step 6: Final answer
    x = 629.05

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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.