Home / 1,149.25-1,723.91-283.56

Finding the Fourth Proportional to 1,149.25, 1,723.91 and 283.56

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Solution

The fourth proportional to 1,149.25, 1,723.91 and 283.56 is: 425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.25 : 1,723.91 = 283.56 : x
  2. Step 2: Convert to fraction form
    1,149.25/1,723.91 = 283.56/x
  3. Step 3: Cross multiply
    1,149.25x = 1,723.91 × 283.56
  4. Step 4: Simplify right side
    1,149.25x = 488,836.23
  5. Step 5: Solve for x
    x = 488,836.23/1,149.25
  6. Step 6: Final answer
    x = 425.35

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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.