Home / 1,025.25-1,537.87-255.75

Finding the Fourth Proportional to 1,025.25, 1,537.87 and 255.75

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Solution

The fourth proportional to 1,025.25, 1,537.87 and 255.75 is: 383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.25 : 1,537.87 = 255.75 : x
  2. Step 2: Convert to fraction form
    1,025.25/1,537.87 = 255.75/x
  3. Step 3: Cross multiply
    1,025.25x = 1,537.87 × 255.75
  4. Step 4: Simplify right side
    1,025.25x = 393,310.25
  5. Step 5: Solve for x
    x = 393,310.25/1,025.25
  6. Step 6: Final answer
    x = 383.62

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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.