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Finding the Fourth Proportional to 616.50, 851.38 and 395.54

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Solution

The fourth proportional to 616.50, 851.38 and 395.54 is: 546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 851.38 = 395.54 : x
  2. Step 2: Convert to fraction form
    616.50/851.38 = 395.54/x
  3. Step 3: Cross multiply
    616.50x = 851.38 × 395.54
  4. Step 4: Simplify right side
    616.50x = 336,754.85
  5. Step 5: Solve for x
    x = 336,754.85/616.50
  6. Step 6: Final answer
    x = 546.24

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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.