Home / 1,028.91-1,543.61-298.53

Finding the Fourth Proportional to 1,028.91, 1,543.61 and 298.53

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Solution

The fourth proportional to 1,028.91, 1,543.61 and 298.53 is: 447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.91 : 1,543.61 = 298.53 : x
  2. Step 2: Convert to fraction form
    1,028.91/1,543.61 = 298.53/x
  3. Step 3: Cross multiply
    1,028.91x = 1,543.61 × 298.53
  4. Step 4: Simplify right side
    1,028.91x = 460,813.89
  5. Step 5: Solve for x
    x = 460,813.89/1,028.91
  6. Step 6: Final answer
    x = 447.87

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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.