Home / 1,028.50-1,542.70-298.06

Finding the Fourth Proportional to 1,028.50, 1,542.70 and 298.06

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Solution

The fourth proportional to 1,028.50, 1,542.70 and 298.06 is: 447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.50 : 1,542.70 = 298.06 : x
  2. Step 2: Convert to fraction form
    1,028.50/1,542.70 = 298.06/x
  3. Step 3: Cross multiply
    1,028.50x = 1,542.70 × 298.06
  4. Step 4: Simplify right side
    1,028.50x = 459,807.96
  5. Step 5: Solve for x
    x = 459,807.96/1,028.50
  6. Step 6: Final answer
    x = 447.07

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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.