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Finding the Fourth Proportional to 616.96, 850.08 and 461.44

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Solution

The fourth proportional to 616.96, 850.08 and 461.44 is: 635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.96 : 850.08 = 461.44 : x
  2. Step 2: Convert to fraction form
    616.96/850.08 = 461.44/x
  3. Step 3: Cross multiply
    616.96x = 850.08 × 461.44
  4. Step 4: Simplify right side
    616.96x = 392,260.92
  5. Step 5: Solve for x
    x = 392,260.92/616.96
  6. Step 6: Final answer
    x = 635.80

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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.