Home / 1,131.19-1,696.77-309.46

Finding the Fourth Proportional to 1,131.19, 1,696.77 and 309.46

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Solution

The fourth proportional to 1,131.19, 1,696.77 and 309.46 is: 464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.19 : 1,696.77 = 309.46 : x
  2. Step 2: Convert to fraction form
    1,131.19/1,696.77 = 309.46/x
  3. Step 3: Cross multiply
    1,131.19x = 1,696.77 × 309.46
  4. Step 4: Simplify right side
    1,131.19x = 525,082.44
  5. Step 5: Solve for x
    x = 525,082.44/1,131.19
  6. Step 6: Final answer
    x = 464.19

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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.