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Finding the Fourth Proportional to 455.06, 682.86 and 419.42

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Solution

The fourth proportional to 455.06, 682.86 and 419.42 is: 629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 682.86 = 419.42 : x
  2. Step 2: Convert to fraction form
    455.06/682.86 = 419.42/x
  3. Step 3: Cross multiply
    455.06x = 682.86 × 419.42
  4. Step 4: Simplify right side
    455.06x = 286,405.14
  5. Step 5: Solve for x
    x = 286,405.14/455.06
  6. Step 6: Final answer
    x = 629.38

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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.