Home / 1,028.36-1,541.28-378.32

Finding the Fourth Proportional to 1,028.36, 1,541.28 and 378.32

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Solution

The fourth proportional to 1,028.36, 1,541.28 and 378.32 is: 567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.36 : 1,541.28 = 378.32 : x
  2. Step 2: Convert to fraction form
    1,028.36/1,541.28 = 378.32/x
  3. Step 3: Cross multiply
    1,028.36x = 1,541.28 × 378.32
  4. Step 4: Simplify right side
    1,028.36x = 583,097.05
  5. Step 5: Solve for x
    x = 583,097.05/1,028.36
  6. Step 6: Final answer
    x = 567.02

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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.