Home / 1,150.16-1,725.23-419.73

Finding the Fourth Proportional to 1,150.16, 1,725.23 and 419.73

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Solution

The fourth proportional to 1,150.16, 1,725.23 and 419.73 is: 629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.16 : 1,725.23 = 419.73 : x
  2. Step 2: Convert to fraction form
    1,150.16/1,725.23 = 419.73/x
  3. Step 3: Cross multiply
    1,150.16x = 1,725.23 × 419.73
  4. Step 4: Simplify right side
    1,150.16x = 724,125.37
  5. Step 5: Solve for x
    x = 724,125.37/1,150.16
  6. Step 6: Final answer
    x = 629.59

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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.