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Finding the Fourth Proportional to 456.07, 682.49 and 334.03

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Solution

The fourth proportional to 456.07, 682.49 and 334.03 is: 499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.07 : 682.49 = 334.03 : x
  2. Step 2: Convert to fraction form
    456.07/682.49 = 334.03/x
  3. Step 3: Cross multiply
    456.07x = 682.49 × 334.03
  4. Step 4: Simplify right side
    456.07x = 227,973.01
  5. Step 5: Solve for x
    x = 227,973.01/456.07
  6. Step 6: Final answer
    x = 499.86

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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.