Home / 1,028.28-1,542.40-258.76

Finding the Fourth Proportional to 1,028.28, 1,542.40 and 258.76

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Solution

The fourth proportional to 1,028.28, 1,542.40 and 258.76 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.28 : 1,542.40 = 258.76 : x
  2. Step 2: Convert to fraction form
    1,028.28/1,542.40 = 258.76/x
  3. Step 3: Cross multiply
    1,028.28x = 1,542.40 × 258.76
  4. Step 4: Simplify right side
    1,028.28x = 399,111.42
  5. Step 5: Solve for x
    x = 399,111.42/1,028.28
  6. Step 6: Final answer
    x = 388.13

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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.