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Finding the Fourth Proportional to 460.72, 639.62 and 447.36

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Solution

The fourth proportional to 460.72, 639.62 and 447.36 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.72 : 639.62 = 447.36 : x
  2. Step 2: Convert to fraction form
    460.72/639.62 = 447.36/x
  3. Step 3: Cross multiply
    460.72x = 639.62 × 447.36
  4. Step 4: Simplify right side
    460.72x = 286,140.40
  5. Step 5: Solve for x
    x = 286,140.40/460.72
  6. Step 6: Final answer
    x = 621.07

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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.