Home / 1,507.82-2,261.70-412.28

Finding the Fourth Proportional to 1,507.82, 2,261.70 and 412.28

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Solution

The fourth proportional to 1,507.82, 2,261.70 and 412.28 is: 618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.82 : 2,261.70 = 412.28 : x
  2. Step 2: Convert to fraction form
    1,507.82/2,261.70 = 412.28/x
  3. Step 3: Cross multiply
    1,507.82x = 2,261.70 × 412.28
  4. Step 4: Simplify right side
    1,507.82x = 932,453.68
  5. Step 5: Solve for x
    x = 932,453.68/1,507.82
  6. Step 6: Final answer
    x = 618.41

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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.