Home / 1,028.03-1,542.05-258.53

Finding the Fourth Proportional to 1,028.03, 1,542.05 and 258.53

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Solution

The fourth proportional to 1,028.03, 1,542.05 and 258.53 is: 387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.03 : 1,542.05 = 258.53 : x
  2. Step 2: Convert to fraction form
    1,028.03/1,542.05 = 258.53/x
  3. Step 3: Cross multiply
    1,028.03x = 1,542.05 × 258.53
  4. Step 4: Simplify right side
    1,028.03x = 398,666.19
  5. Step 5: Solve for x
    x = 398,666.19/1,028.03
  6. Step 6: Final answer
    x = 387.80

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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.