Home / 1,150.26-1,725.40-419.90

Finding the Fourth Proportional to 1,150.26, 1,725.40 and 419.90

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Solution

The fourth proportional to 1,150.26, 1,725.40 and 419.90 is: 629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.26 : 1,725.40 = 419.90 : x
  2. Step 2: Convert to fraction form
    1,150.26/1,725.40 = 419.90/x
  3. Step 3: Cross multiply
    1,150.26x = 1,725.40 × 419.90
  4. Step 4: Simplify right side
    1,150.26x = 724,484.73
  5. Step 5: Solve for x
    x = 724,484.73/1,150.26
  6. Step 6: Final answer
    x = 629.84

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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.