Home / 1,028.49-1,543.01-298.12

Finding the Fourth Proportional to 1,028.49, 1,543.01 and 298.12

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Solution

The fourth proportional to 1,028.49, 1,543.01 and 298.12 is: 447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.49 : 1,543.01 = 298.12 : x
  2. Step 2: Convert to fraction form
    1,028.49/1,543.01 = 298.12/x
  3. Step 3: Cross multiply
    1,028.49x = 1,543.01 × 298.12
  4. Step 4: Simplify right side
    1,028.49x = 460,002.14
  5. Step 5: Solve for x
    x = 460,002.14/1,028.49
  6. Step 6: Final answer
    x = 447.26

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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.