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Finding the Fourth Proportional to 456.61, 629.85 and 325.39

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Solution

The fourth proportional to 456.61, 629.85 and 325.39 is: 448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.61 : 629.85 = 325.39 : x
  2. Step 2: Convert to fraction form
    456.61/629.85 = 325.39/x
  3. Step 3: Cross multiply
    456.61x = 629.85 × 325.39
  4. Step 4: Simplify right side
    456.61x = 204,946.89
  5. Step 5: Solve for x
    x = 204,946.89/456.61
  6. Step 6: Final answer
    x = 448.84

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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.