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Finding the Fourth Proportional to 617.63, 919.83 and 596.09

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Solution

The fourth proportional to 617.63, 919.83 and 596.09 is: 887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.63 : 919.83 = 596.09 : x
  2. Step 2: Convert to fraction form
    617.63/919.83 = 596.09/x
  3. Step 3: Cross multiply
    617.63x = 919.83 × 596.09
  4. Step 4: Simplify right side
    617.63x = 548,296.87
  5. Step 5: Solve for x
    x = 548,296.87/617.63
  6. Step 6: Final answer
    x = 887.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.