Home / 1,161.63-1,742.24-421.09

Finding the Fourth Proportional to 1,161.63, 1,742.24 and 421.09

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Solution

The fourth proportional to 1,161.63, 1,742.24 and 421.09 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.63 : 1,742.24 = 421.09 : x
  2. Step 2: Convert to fraction form
    1,161.63/1,742.24 = 421.09/x
  3. Step 3: Cross multiply
    1,161.63x = 1,742.24 × 421.09
  4. Step 4: Simplify right side
    1,161.63x = 733,636.54
  5. Step 5: Solve for x
    x = 733,636.54/1,161.63
  6. Step 6: Final answer
    x = 631.56

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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.