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Finding the Fourth Proportional to 456.84, 629.71 and 338.63

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Solution

The fourth proportional to 456.84, 629.71 and 338.63 is: 466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 629.71 = 338.63 : x
  2. Step 2: Convert to fraction form
    456.84/629.71 = 338.63/x
  3. Step 3: Cross multiply
    456.84x = 629.71 × 338.63
  4. Step 4: Simplify right side
    456.84x = 213,238.24
  5. Step 5: Solve for x
    x = 213,238.24/456.84
  6. Step 6: Final answer
    x = 466.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.