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Finding the Fourth Proportional to 456.71, 629.66 and 325.49

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Solution

The fourth proportional to 456.71, 629.66 and 325.49 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.71 : 629.66 = 325.49 : x
  2. Step 2: Convert to fraction form
    456.71/629.66 = 325.49/x
  3. Step 3: Cross multiply
    456.71x = 629.66 × 325.49
  4. Step 4: Simplify right side
    456.71x = 204,946.41
  5. Step 5: Solve for x
    x = 204,946.41/456.71
  6. Step 6: Final answer
    x = 448.75

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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.