Home / 1,028.85-1,544.40-541.77

Finding the Fourth Proportional to 1,028.85, 1,544.40 and 541.77

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Solution

The fourth proportional to 1,028.85, 1,544.40 and 541.77 is: 813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.85 : 1,544.40 = 541.77 : x
  2. Step 2: Convert to fraction form
    1,028.85/1,544.40 = 541.77/x
  3. Step 3: Cross multiply
    1,028.85x = 1,544.40 × 541.77
  4. Step 4: Simplify right side
    1,028.85x = 836,709.59
  5. Step 5: Solve for x
    x = 836,709.59/1,028.85
  6. Step 6: Final answer
    x = 813.25

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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.