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Finding the Fourth Proportional to 460.36, 634.56 and 320.63

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Solution

The fourth proportional to 460.36, 634.56 and 320.63 is: 441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.36 : 634.56 = 320.63 : x
  2. Step 2: Convert to fraction form
    460.36/634.56 = 320.63/x
  3. Step 3: Cross multiply
    460.36x = 634.56 × 320.63
  4. Step 4: Simplify right side
    460.36x = 203,458.97
  5. Step 5: Solve for x
    x = 203,458.97/460.36
  6. Step 6: Final answer
    x = 441.96

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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.