Home / 1,161.37-1,741.47-420.95

Finding the Fourth Proportional to 1,161.37, 1,741.47 and 420.95

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Solution

The fourth proportional to 1,161.37, 1,741.47 and 420.95 is: 631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.37 : 1,741.47 = 420.95 : x
  2. Step 2: Convert to fraction form
    1,161.37/1,741.47 = 420.95/x
  3. Step 3: Cross multiply
    1,161.37x = 1,741.47 × 420.95
  4. Step 4: Simplify right side
    1,161.37x = 733,067.00
  5. Step 5: Solve for x
    x = 733,067.00/1,161.37
  6. Step 6: Final answer
    x = 631.21

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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.