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Finding the Fourth Proportional to 1,028.67, 1,543.05 and 298.23

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Solution

The fourth proportional to 1,028.67, 1,543.05 and 298.23 is: 447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.67 : 1,543.05 = 298.23 : x
  2. Step 2: Convert to fraction form
    1,028.67/1,543.05 = 298.23/x
  3. Step 3: Cross multiply
    1,028.67x = 1,543.05 × 298.23
  4. Step 4: Simplify right side
    1,028.67x = 460,183.80
  5. Step 5: Solve for x
    x = 460,183.80/1,028.67
  6. Step 6: Final answer
    x = 447.36

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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.