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Finding the Fourth Proportional to 616.87, 850.89 and 396.10

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Solution

The fourth proportional to 616.87, 850.89 and 396.10 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.87 : 850.89 = 396.10 : x
  2. Step 2: Convert to fraction form
    616.87/850.89 = 396.10/x
  3. Step 3: Cross multiply
    616.87x = 850.89 × 396.10
  4. Step 4: Simplify right side
    616.87x = 337,037.53
  5. Step 5: Solve for x
    x = 337,037.53/616.87
  6. Step 6: Final answer
    x = 546.37

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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.