Home / 1,028.22-1,541.39-411.81

Finding the Fourth Proportional to 1,028.22, 1,541.39 and 411.81

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Solution

The fourth proportional to 1,028.22, 1,541.39 and 411.81 is: 617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.22 : 1,541.39 = 411.81 : x
  2. Step 2: Convert to fraction form
    1,028.22/1,541.39 = 411.81/x
  3. Step 3: Cross multiply
    1,028.22x = 1,541.39 × 411.81
  4. Step 4: Simplify right side
    1,028.22x = 634,757.76
  5. Step 5: Solve for x
    x = 634,757.76/1,028.22
  6. Step 6: Final answer
    x = 617.34

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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.