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Finding the Fourth Proportional to 1,028.87, 1,543.26 and 298.43

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Solution

The fourth proportional to 1,028.87, 1,543.26 and 298.43 is: 447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.87 : 1,543.26 = 298.43 : x
  2. Step 2: Convert to fraction form
    1,028.87/1,543.26 = 298.43/x
  3. Step 3: Cross multiply
    1,028.87x = 1,543.26 × 298.43
  4. Step 4: Simplify right side
    1,028.87x = 460,555.08
  5. Step 5: Solve for x
    x = 460,555.08/1,028.87
  6. Step 6: Final answer
    x = 447.63

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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.