Home / 1,161.94-1,743.42-431.35

Finding the Fourth Proportional to 1,161.94, 1,743.42 and 431.35

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Solution

The fourth proportional to 1,161.94, 1,743.42 and 431.35 is: 647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.94 : 1,743.42 = 431.35 : x
  2. Step 2: Convert to fraction form
    1,161.94/1,743.42 = 431.35/x
  3. Step 3: Cross multiply
    1,161.94x = 1,743.42 × 431.35
  4. Step 4: Simplify right side
    1,161.94x = 752,024.22
  5. Step 5: Solve for x
    x = 752,024.22/1,161.94
  6. Step 6: Final answer
    x = 647.21

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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.