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Finding the Fourth Proportional to 464.49, 640.41 and 401.49

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Solution

The fourth proportional to 464.49, 640.41 and 401.49 is: 553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 640.41 = 401.49 : x
  2. Step 2: Convert to fraction form
    464.49/640.41 = 401.49/x
  3. Step 3: Cross multiply
    464.49x = 640.41 × 401.49
  4. Step 4: Simplify right side
    464.49x = 257,113.00
  5. Step 5: Solve for x
    x = 257,113.00/464.49
  6. Step 6: Final answer
    x = 553.54

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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.