Home / 1,131.18-1,696.75-298.23

Finding the Fourth Proportional to 1,131.18, 1,696.75 and 298.23

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Solution

The fourth proportional to 1,131.18, 1,696.75 and 298.23 is: 447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.18 : 1,696.75 = 298.23 : x
  2. Step 2: Convert to fraction form
    1,131.18/1,696.75 = 298.23/x
  3. Step 3: Cross multiply
    1,131.18x = 1,696.75 × 298.23
  4. Step 4: Simplify right side
    1,131.18x = 506,020.26
  5. Step 5: Solve for x
    x = 506,020.26/1,131.18
  6. Step 6: Final answer
    x = 447.34

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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.