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Finding the Fourth Proportional to 640.36, 882.73 and 463.24

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Solution

The fourth proportional to 640.36, 882.73 and 463.24 is: 638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.36 : 882.73 = 463.24 : x
  2. Step 2: Convert to fraction form
    640.36/882.73 = 463.24/x
  3. Step 3: Cross multiply
    640.36x = 882.73 × 463.24
  4. Step 4: Simplify right side
    640.36x = 408,915.85
  5. Step 5: Solve for x
    x = 408,915.85/640.36
  6. Step 6: Final answer
    x = 638.57

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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.