Home / 1,131.20-1,696.75-309.56

Finding the Fourth Proportional to 1,131.20, 1,696.75 and 309.56

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Solution

The fourth proportional to 1,131.20, 1,696.75 and 309.56 is: 464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.20 : 1,696.75 = 309.56 : x
  2. Step 2: Convert to fraction form
    1,131.20/1,696.75 = 309.56/x
  3. Step 3: Cross multiply
    1,131.20x = 1,696.75 × 309.56
  4. Step 4: Simplify right side
    1,131.20x = 525,238.41
  5. Step 5: Solve for x
    x = 525,238.41/1,131.20
  6. Step 6: Final answer
    x = 464.32

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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.