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Finding the Fourth Proportional to 616.37, 850.52 and 523.49

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Solution

The fourth proportional to 616.37, 850.52 and 523.49 is: 722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.37 : 850.52 = 523.49 : x
  2. Step 2: Convert to fraction form
    616.37/850.52 = 523.49/x
  3. Step 3: Cross multiply
    616.37x = 850.52 × 523.49
  4. Step 4: Simplify right side
    616.37x = 445,236.10
  5. Step 5: Solve for x
    x = 445,236.10/616.37
  6. Step 6: Final answer
    x = 722.35

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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.