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Finding the Fourth Proportional to 850.77, 1,173.78 and 496.53

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Solution

The fourth proportional to 850.77, 1,173.78 and 496.53 is: 685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.77 : 1,173.78 = 496.53 : x
  2. Step 2: Convert to fraction form
    850.77/1,173.78 = 496.53/x
  3. Step 3: Cross multiply
    850.77x = 1,173.78 × 496.53
  4. Step 4: Simplify right side
    850.77x = 582,816.98
  5. Step 5: Solve for x
    x = 582,816.98/850.77
  6. Step 6: Final answer
    x = 685.05

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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.