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Finding the Fourth Proportional to 617.72, 851.96 and 396.68

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Solution

The fourth proportional to 617.72, 851.96 and 396.68 is: 547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.72 : 851.96 = 396.68 : x
  2. Step 2: Convert to fraction form
    617.72/851.96 = 396.68/x
  3. Step 3: Cross multiply
    617.72x = 851.96 × 396.68
  4. Step 4: Simplify right side
    617.72x = 337,955.49
  5. Step 5: Solve for x
    x = 337,955.49/617.72
  6. Step 6: Final answer
    x = 547.11

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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.