Home / 1,150.11-1,725.42-419.69

Finding the Fourth Proportional to 1,150.11, 1,725.42 and 419.69

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Solution

The fourth proportional to 1,150.11, 1,725.42 and 419.69 is: 629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.11 : 1,725.42 = 419.69 : x
  2. Step 2: Convert to fraction form
    1,150.11/1,725.42 = 419.69/x
  3. Step 3: Cross multiply
    1,150.11x = 1,725.42 × 419.69
  4. Step 4: Simplify right side
    1,150.11x = 724,133.94
  5. Step 5: Solve for x
    x = 724,133.94/1,150.11
  6. Step 6: Final answer
    x = 629.62

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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.