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Finding the Fourth Proportional to 460.48, 694.90 and 446.80

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Solution

The fourth proportional to 460.48, 694.90 and 446.80 is: 674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.48 : 694.90 = 446.80 : x
  2. Step 2: Convert to fraction form
    460.48/694.90 = 446.80/x
  3. Step 3: Cross multiply
    460.48x = 694.90 × 446.80
  4. Step 4: Simplify right side
    460.48x = 310,481.32
  5. Step 5: Solve for x
    x = 310,481.32/460.48
  6. Step 6: Final answer
    x = 674.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.