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Finding the Fourth Proportional to 460.33, 634.03 and 398.17

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Solution

The fourth proportional to 460.33, 634.03 and 398.17 is: 548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.33 : 634.03 = 398.17 : x
  2. Step 2: Convert to fraction form
    460.33/634.03 = 398.17/x
  3. Step 3: Cross multiply
    460.33x = 634.03 × 398.17
  4. Step 4: Simplify right side
    460.33x = 252,447.96
  5. Step 5: Solve for x
    x = 252,447.96/460.33
  6. Step 6: Final answer
    x = 548.40

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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.