Home / 1,224.82-1,837.34-359.14

Finding the Fourth Proportional to 1,224.82, 1,837.34 and 359.14

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Solution

The fourth proportional to 1,224.82, 1,837.34 and 359.14 is: 538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.82 : 1,837.34 = 359.14 : x
  2. Step 2: Convert to fraction form
    1,224.82/1,837.34 = 359.14/x
  3. Step 3: Cross multiply
    1,224.82x = 1,837.34 × 359.14
  4. Step 4: Simplify right side
    1,224.82x = 659,860.49
  5. Step 5: Solve for x
    x = 659,860.49/1,224.82
  6. Step 6: Final answer
    x = 538.74

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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.