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Finding the Fourth Proportional to 646.79, 892.22 and 481.14

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Solution

The fourth proportional to 646.79, 892.22 and 481.14 is: 663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.79 : 892.22 = 481.14 : x
  2. Step 2: Convert to fraction form
    646.79/892.22 = 481.14/x
  3. Step 3: Cross multiply
    646.79x = 892.22 × 481.14
  4. Step 4: Simplify right side
    646.79x = 429,280.33
  5. Step 5: Solve for x
    x = 429,280.33/646.79
  6. Step 6: Final answer
    x = 663.71

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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.