Home / 1,190.68-1,786.13-313.19

Finding the Fourth Proportional to 1,190.68, 1,786.13 and 313.19

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Solution

The fourth proportional to 1,190.68, 1,786.13 and 313.19 is: 469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.68 : 1,786.13 = 313.19 : x
  2. Step 2: Convert to fraction form
    1,190.68/1,786.13 = 313.19/x
  3. Step 3: Cross multiply
    1,190.68x = 1,786.13 × 313.19
  4. Step 4: Simplify right side
    1,190.68x = 559,387.56
  5. Step 5: Solve for x
    x = 559,387.56/1,190.68
  6. Step 6: Final answer
    x = 469.81

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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.