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Finding the Fourth Proportional to 455.00, 681.91 and 396.19

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Solution

The fourth proportional to 455.00, 681.91 and 396.19 is: 593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.00 : 681.91 = 396.19 : x
  2. Step 2: Convert to fraction form
    455.00/681.91 = 396.19/x
  3. Step 3: Cross multiply
    455.00x = 681.91 × 396.19
  4. Step 4: Simplify right side
    455.00x = 270,168.01
  5. Step 5: Solve for x
    x = 270,168.01/455.00
  6. Step 6: Final answer
    x = 593.78

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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.