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Finding the Fourth Proportional to 456.62, 684.14 and 319.41

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Solution

The fourth proportional to 456.62, 684.14 and 319.41 is: 478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.62 : 684.14 = 319.41 : x
  2. Step 2: Convert to fraction form
    456.62/684.14 = 319.41/x
  3. Step 3: Cross multiply
    456.62x = 684.14 × 319.41
  4. Step 4: Simplify right side
    456.62x = 218,519.56
  5. Step 5: Solve for x
    x = 218,519.56/456.62
  6. Step 6: Final answer
    x = 478.56

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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.