Home / 1,028.39-1,542.35-297.80

Finding the Fourth Proportional to 1,028.39, 1,542.35 and 297.80

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Solution

The fourth proportional to 1,028.39, 1,542.35 and 297.80 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.39 : 1,542.35 = 297.80 : x
  2. Step 2: Convert to fraction form
    1,028.39/1,542.35 = 297.80/x
  3. Step 3: Cross multiply
    1,028.39x = 1,542.35 × 297.80
  4. Step 4: Simplify right side
    1,028.39x = 459,311.83
  5. Step 5: Solve for x
    x = 459,311.83/1,028.39
  6. Step 6: Final answer
    x = 446.63

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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.