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Finding the Fourth Proportional to 613.20, 850.08 and 580.32

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Solution

The fourth proportional to 613.20, 850.08 and 580.32 is: 804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.20 : 850.08 = 580.32 : x
  2. Step 2: Convert to fraction form
    613.20/850.08 = 580.32/x
  3. Step 3: Cross multiply
    613.20x = 850.08 × 580.32
  4. Step 4: Simplify right side
    613.20x = 493,318.43
  5. Step 5: Solve for x
    x = 493,318.43/613.20
  6. Step 6: Final answer
    x = 804.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.