Home / 1,025.20-1,536.75-408.07

Finding the Fourth Proportional to 1,025.20, 1,536.75 and 408.07

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Solution

The fourth proportional to 1,025.20, 1,536.75 and 408.07 is: 611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.20 : 1,536.75 = 408.07 : x
  2. Step 2: Convert to fraction form
    1,025.20/1,536.75 = 408.07/x
  3. Step 3: Cross multiply
    1,025.20x = 1,536.75 × 408.07
  4. Step 4: Simplify right side
    1,025.20x = 627,101.57
  5. Step 5: Solve for x
    x = 627,101.57/1,025.20
  6. Step 6: Final answer
    x = 611.69

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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.