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Finding the Fourth Proportional to 617.03, 850.85 and 477.17

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Solution

The fourth proportional to 617.03, 850.85 and 477.17 is: 657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.03 : 850.85 = 477.17 : x
  2. Step 2: Convert to fraction form
    617.03/850.85 = 477.17/x
  3. Step 3: Cross multiply
    617.03x = 850.85 × 477.17
  4. Step 4: Simplify right side
    617.03x = 405,993.45
  5. Step 5: Solve for x
    x = 405,993.45/617.03
  6. Step 6: Final answer
    x = 657.99

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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.