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Finding the Fourth Proportional to 466.63, 693.84 and 447.19

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Solution

The fourth proportional to 466.63, 693.84 and 447.19 is: 664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.63 : 693.84 = 447.19 : x
  2. Step 2: Convert to fraction form
    466.63/693.84 = 447.19/x
  3. Step 3: Cross multiply
    466.63x = 693.84 × 447.19
  4. Step 4: Simplify right side
    466.63x = 310,278.31
  5. Step 5: Solve for x
    x = 310,278.31/466.63
  6. Step 6: Final answer
    x = 664.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.