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Finding the Fourth Proportional to 617.10, 851.40 and 396.30

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Solution

The fourth proportional to 617.10, 851.40 and 396.30 is: 546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 851.40 = 396.30 : x
  2. Step 2: Convert to fraction form
    617.10/851.40 = 396.30/x
  3. Step 3: Cross multiply
    617.10x = 851.40 × 396.30
  4. Step 4: Simplify right side
    617.10x = 337,409.82
  5. Step 5: Solve for x
    x = 337,409.82/617.10
  6. Step 6: Final answer
    x = 546.77

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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.