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Finding the Fourth Proportional to 460.53, 635.13 and 398.34

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Solution

The fourth proportional to 460.53, 635.13 and 398.34 is: 549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.53 : 635.13 = 398.34 : x
  2. Step 2: Convert to fraction form
    460.53/635.13 = 398.34/x
  3. Step 3: Cross multiply
    460.53x = 635.13 × 398.34
  4. Step 4: Simplify right side
    460.53x = 252,997.68
  5. Step 5: Solve for x
    x = 252,997.68/460.53
  6. Step 6: Final answer
    x = 549.36

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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.