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Finding the Fourth Proportional to 646.56, 892.26 and 481.53

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Solution

The fourth proportional to 646.56, 892.26 and 481.53 is: 664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.56 : 892.26 = 481.53 : x
  2. Step 2: Convert to fraction form
    646.56/892.26 = 481.53/x
  3. Step 3: Cross multiply
    646.56x = 892.26 × 481.53
  4. Step 4: Simplify right side
    646.56x = 429,649.96
  5. Step 5: Solve for x
    x = 429,649.96/646.56
  6. Step 6: Final answer
    x = 664.52

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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.