Home / 1,028.70-1,543.14-298.29

Finding the Fourth Proportional to 1,028.70, 1,543.14 and 298.29

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Solution

The fourth proportional to 1,028.70, 1,543.14 and 298.29 is: 447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.70 : 1,543.14 = 298.29 : x
  2. Step 2: Convert to fraction form
    1,028.70/1,543.14 = 298.29/x
  3. Step 3: Cross multiply
    1,028.70x = 1,543.14 × 298.29
  4. Step 4: Simplify right side
    1,028.70x = 460,303.23
  5. Step 5: Solve for x
    x = 460,303.23/1,028.70
  6. Step 6: Final answer
    x = 447.46

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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.