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Finding the Fourth Proportional to 455.75, 684.23 and 270.99

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Solution

The fourth proportional to 455.75, 684.23 and 270.99 is: 406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.75 : 684.23 = 270.99 : x
  2. Step 2: Convert to fraction form
    455.75/684.23 = 270.99/x
  3. Step 3: Cross multiply
    455.75x = 684.23 × 270.99
  4. Step 4: Simplify right side
    455.75x = 185,418.13
  5. Step 5: Solve for x
    x = 185,418.13/455.75
  6. Step 6: Final answer
    x = 406.85

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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.