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Finding the Fourth Proportional to 460.85, 634.08 and 398.48

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Solution

The fourth proportional to 460.85, 634.08 and 398.48 is: 548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.85 : 634.08 = 398.48 : x
  2. Step 2: Convert to fraction form
    460.85/634.08 = 398.48/x
  3. Step 3: Cross multiply
    460.85x = 634.08 × 398.48
  4. Step 4: Simplify right side
    460.85x = 252,665.03
  5. Step 5: Solve for x
    x = 252,665.03/460.85
  6. Step 6: Final answer
    x = 548.26

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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.