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Finding the Fourth Proportional to 460.47, 639.28 and 447.11

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Solution

The fourth proportional to 460.47, 639.28 and 447.11 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.47 : 639.28 = 447.11 : x
  2. Step 2: Convert to fraction form
    460.47/639.28 = 447.11/x
  3. Step 3: Cross multiply
    460.47x = 639.28 × 447.11
  4. Step 4: Simplify right side
    460.47x = 285,824.17
  5. Step 5: Solve for x
    x = 285,824.17/460.47
  6. Step 6: Final answer
    x = 620.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.