Home / 1,027.66-1,541.60-378.31

Finding the Fourth Proportional to 1,027.66, 1,541.60 and 378.31

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Solution

The fourth proportional to 1,027.66, 1,541.60 and 378.31 is: 567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.66 : 1,541.60 = 378.31 : x
  2. Step 2: Convert to fraction form
    1,027.66/1,541.60 = 378.31/x
  3. Step 3: Cross multiply
    1,027.66x = 1,541.60 × 378.31
  4. Step 4: Simplify right side
    1,027.66x = 583,202.70
  5. Step 5: Solve for x
    x = 583,202.70/1,027.66
  6. Step 6: Final answer
    x = 567.51

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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.