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Finding the Fourth Proportional to 617.10, 850.33 and 476.36

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Solution

The fourth proportional to 617.10, 850.33 and 476.36 is: 656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 850.33 = 476.36 : x
  2. Step 2: Convert to fraction form
    617.10/850.33 = 476.36/x
  3. Step 3: Cross multiply
    617.10x = 850.33 × 476.36
  4. Step 4: Simplify right side
    617.10x = 405,063.20
  5. Step 5: Solve for x
    x = 405,063.20/617.10
  6. Step 6: Final answer
    x = 656.40

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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.