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Finding the Fourth Proportional to 464.29, 693.25 and 447.49

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Solution

The fourth proportional to 464.29, 693.25 and 447.49 is: 668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.29 : 693.25 = 447.49 : x
  2. Step 2: Convert to fraction form
    464.29/693.25 = 447.49/x
  3. Step 3: Cross multiply
    464.29x = 693.25 × 447.49
  4. Step 4: Simplify right side
    464.29x = 310,223.56
  5. Step 5: Solve for x
    x = 310,223.56/464.29
  6. Step 6: Final answer
    x = 668.17

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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.