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Finding the Fourth Proportional to 617.16, 850.98 and 461.64

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Solution

The fourth proportional to 617.16, 850.98 and 461.64 is: 636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.16 : 850.98 = 461.64 : x
  2. Step 2: Convert to fraction form
    617.16/850.98 = 461.64/x
  3. Step 3: Cross multiply
    617.16x = 850.98 × 461.64
  4. Step 4: Simplify right side
    617.16x = 392,846.41
  5. Step 5: Solve for x
    x = 392,846.41/617.16
  6. Step 6: Final answer
    x = 636.54

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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.