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Finding the Fourth Proportional to 464.70, 640.45 and 451.38

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Solution

The fourth proportional to 464.70, 640.45 and 451.38 is: 622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.70 : 640.45 = 451.38 : x
  2. Step 2: Convert to fraction form
    464.70/640.45 = 451.38/x
  3. Step 3: Cross multiply
    464.70x = 640.45 × 451.38
  4. Step 4: Simplify right side
    464.70x = 289,083.51
  5. Step 5: Solve for x
    x = 289,083.51/464.70
  6. Step 6: Final answer
    x = 622.08

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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.