Home / 1,194.23-1,791.57-414.20

Finding the Fourth Proportional to 1,194.23, 1,791.57 and 414.20

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Solution

The fourth proportional to 1,194.23, 1,791.57 and 414.20 is: 621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.23 : 1,791.57 = 414.20 : x
  2. Step 2: Convert to fraction form
    1,194.23/1,791.57 = 414.20/x
  3. Step 3: Cross multiply
    1,194.23x = 1,791.57 × 414.20
  4. Step 4: Simplify right side
    1,194.23x = 742,068.29
  5. Step 5: Solve for x
    x = 742,068.29/1,194.23
  6. Step 6: Final answer
    x = 621.38

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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.