Home / 1,180.26-1,770.42-314.57

Finding the Fourth Proportional to 1,180.26, 1,770.42 and 314.57

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Solution

The fourth proportional to 1,180.26, 1,770.42 and 314.57 is: 471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.26 : 1,770.42 = 314.57 : x
  2. Step 2: Convert to fraction form
    1,180.26/1,770.42 = 314.57/x
  3. Step 3: Cross multiply
    1,180.26x = 1,770.42 × 314.57
  4. Step 4: Simplify right side
    1,180.26x = 556,912.17
  5. Step 5: Solve for x
    x = 556,912.17/1,180.26
  6. Step 6: Final answer
    x = 471.86

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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.