Home / 1,191.07-1,786.70-313.57

Finding the Fourth Proportional to 1,191.07, 1,786.70 and 313.57

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Solution

The fourth proportional to 1,191.07, 1,786.70 and 313.57 is: 470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.07 : 1,786.70 = 313.57 : x
  2. Step 2: Convert to fraction form
    1,191.07/1,786.70 = 313.57/x
  3. Step 3: Cross multiply
    1,191.07x = 1,786.70 × 313.57
  4. Step 4: Simplify right side
    1,191.07x = 560,255.52
  5. Step 5: Solve for x
    x = 560,255.52/1,191.07
  6. Step 6: Final answer
    x = 470.38

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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.