Home / 1,028.07-1,541.75-411.84

Finding the Fourth Proportional to 1,028.07, 1,541.75 and 411.84

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Solution

The fourth proportional to 1,028.07, 1,541.75 and 411.84 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.07 : 1,541.75 = 411.84 : x
  2. Step 2: Convert to fraction form
    1,028.07/1,541.75 = 411.84/x
  3. Step 3: Cross multiply
    1,028.07x = 1,541.75 × 411.84
  4. Step 4: Simplify right side
    1,028.07x = 634,952.26
  5. Step 5: Solve for x
    x = 634,952.26/1,028.07
  6. Step 6: Final answer
    x = 617.62

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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.