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Finding the Fourth Proportional to 617.68, 850.21 and 610.84

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Solution

The fourth proportional to 617.68, 850.21 and 610.84 is: 840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.68 : 850.21 = 610.84 : x
  2. Step 2: Convert to fraction form
    617.68/850.21 = 610.84/x
  3. Step 3: Cross multiply
    617.68x = 850.21 × 610.84
  4. Step 4: Simplify right side
    617.68x = 519,342.28
  5. Step 5: Solve for x
    x = 519,342.28/617.68
  6. Step 6: Final answer
    x = 840.80

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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.