Home / 1,027.87-1,541.81-378.60

Finding the Fourth Proportional to 1,027.87, 1,541.81 and 378.60

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Solution

The fourth proportional to 1,027.87, 1,541.81 and 378.60 is: 567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.87 : 1,541.81 = 378.60 : x
  2. Step 2: Convert to fraction form
    1,027.87/1,541.81 = 378.60/x
  3. Step 3: Cross multiply
    1,027.87x = 1,541.81 × 378.60
  4. Step 4: Simplify right side
    1,027.87x = 583,729.27
  5. Step 5: Solve for x
    x = 583,729.27/1,027.87
  6. Step 6: Final answer
    x = 567.90

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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.