Home / 1,025.20-1,537.26-408.70

Finding the Fourth Proportional to 1,025.20, 1,537.26 and 408.70

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Solution

The fourth proportional to 1,025.20, 1,537.26 and 408.70 is: 612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.20 : 1,537.26 = 408.70 : x
  2. Step 2: Convert to fraction form
    1,025.20/1,537.26 = 408.70/x
  3. Step 3: Cross multiply
    1,025.20x = 1,537.26 × 408.70
  4. Step 4: Simplify right side
    1,025.20x = 628,278.16
  5. Step 5: Solve for x
    x = 628,278.16/1,025.20
  6. Step 6: Final answer
    x = 612.83

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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.