Home / 1,028.69-1,543.29-298.25

Finding the Fourth Proportional to 1,028.69, 1,543.29 and 298.25

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Solution

The fourth proportional to 1,028.69, 1,543.29 and 298.25 is: 447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.69 : 1,543.29 = 298.25 : x
  2. Step 2: Convert to fraction form
    1,028.69/1,543.29 = 298.25/x
  3. Step 3: Cross multiply
    1,028.69x = 1,543.29 × 298.25
  4. Step 4: Simplify right side
    1,028.69x = 460,286.24
  5. Step 5: Solve for x
    x = 460,286.24/1,028.69
  6. Step 6: Final answer
    x = 447.45

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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.