Home / 1,151.21-1,725.27-420.09

Finding the Fourth Proportional to 1,151.21, 1,725.27 and 420.09

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Solution

The fourth proportional to 1,151.21, 1,725.27 and 420.09 is: 629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.21 : 1,725.27 = 420.09 : x
  2. Step 2: Convert to fraction form
    1,151.21/1,725.27 = 420.09/x
  3. Step 3: Cross multiply
    1,151.21x = 1,725.27 × 420.09
  4. Step 4: Simplify right side
    1,151.21x = 724,768.67
  5. Step 5: Solve for x
    x = 724,768.67/1,151.21
  6. Step 6: Final answer
    x = 629.57

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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.