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Finding the Fourth Proportional to 464.54, 693.63 and 447.74

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Solution

The fourth proportional to 464.54, 693.63 and 447.74 is: 668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.54 : 693.63 = 447.74 : x
  2. Step 2: Convert to fraction form
    464.54/693.63 = 447.74/x
  3. Step 3: Cross multiply
    464.54x = 693.63 × 447.74
  4. Step 4: Simplify right side
    464.54x = 310,563.66
  5. Step 5: Solve for x
    x = 310,563.66/464.54
  6. Step 6: Final answer
    x = 668.54

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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.