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Finding the Fourth Proportional to 456.23, 682.83 and 336.86

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Solution

The fourth proportional to 456.23, 682.83 and 336.86 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 682.83 = 336.86 : x
  2. Step 2: Convert to fraction form
    456.23/682.83 = 336.86/x
  3. Step 3: Cross multiply
    456.23x = 682.83 × 336.86
  4. Step 4: Simplify right side
    456.23x = 230,017.26
  5. Step 5: Solve for x
    x = 230,017.26/456.23
  6. Step 6: Final answer
    x = 504.17

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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.