Home / 1,086.09-1,629.23-306.10

Finding the Fourth Proportional to 1,086.09, 1,629.23 and 306.10

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Solution

The fourth proportional to 1,086.09, 1,629.23 and 306.10 is: 459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.09 : 1,629.23 = 306.10 : x
  2. Step 2: Convert to fraction form
    1,086.09/1,629.23 = 306.10/x
  3. Step 3: Cross multiply
    1,086.09x = 1,629.23 × 306.10
  4. Step 4: Simplify right side
    1,086.09x = 498,699.22
  5. Step 5: Solve for x
    x = 498,699.22/1,086.09
  6. Step 6: Final answer
    x = 459.17

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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.