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Finding the Fourth Proportional to 646.49, 891.56 and 481.07

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Solution

The fourth proportional to 646.49, 891.56 and 481.07 is: 663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.49 : 891.56 = 481.07 : x
  2. Step 2: Convert to fraction form
    646.49/891.56 = 481.07/x
  3. Step 3: Cross multiply
    646.49x = 891.56 × 481.07
  4. Step 4: Simplify right side
    646.49x = 428,900.36
  5. Step 5: Solve for x
    x = 428,900.36/646.49
  6. Step 6: Final answer
    x = 663.43

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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.