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Finding the Fourth Proportional to 648.41, 968.56 and 464.33

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Solution

The fourth proportional to 648.41, 968.56 and 464.33 is: 693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 968.56 = 464.33 : x
  2. Step 2: Convert to fraction form
    648.41/968.56 = 464.33/x
  3. Step 3: Cross multiply
    648.41x = 968.56 × 464.33
  4. Step 4: Simplify right side
    648.41x = 449,732.73
  5. Step 5: Solve for x
    x = 449,732.73/648.41
  6. Step 6: Final answer
    x = 693.60

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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.