Home / 1,149.21-1,723.77-283.50

Finding the Fourth Proportional to 1,149.21, 1,723.77 and 283.50

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Solution

The fourth proportional to 1,149.21, 1,723.77 and 283.50 is: 425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.21 : 1,723.77 = 283.50 : x
  2. Step 2: Convert to fraction form
    1,149.21/1,723.77 = 283.50/x
  3. Step 3: Cross multiply
    1,149.21x = 1,723.77 × 283.50
  4. Step 4: Simplify right side
    1,149.21x = 488,688.80
  5. Step 5: Solve for x
    x = 488,688.80/1,149.21
  6. Step 6: Final answer
    x = 425.24

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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.