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Finding the Fourth Proportional to 616.87, 851.37 and 396.05

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Solution

The fourth proportional to 616.87, 851.37 and 396.05 is: 546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.87 : 851.37 = 396.05 : x
  2. Step 2: Convert to fraction form
    616.87/851.37 = 396.05/x
  3. Step 3: Cross multiply
    616.87x = 851.37 × 396.05
  4. Step 4: Simplify right side
    616.87x = 337,185.09
  5. Step 5: Solve for x
    x = 337,185.09/616.87
  6. Step 6: Final answer
    x = 546.61

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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.