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Finding the Fourth Proportional to 613.38, 846.57 and 377.46

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Solution

The fourth proportional to 613.38, 846.57 and 377.46 is: 520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.38 : 846.57 = 377.46 : x
  2. Step 2: Convert to fraction form
    613.38/846.57 = 377.46/x
  3. Step 3: Cross multiply
    613.38x = 846.57 × 377.46
  4. Step 4: Simplify right side
    613.38x = 319,546.31
  5. Step 5: Solve for x
    x = 319,546.31/613.38
  6. Step 6: Final answer
    x = 520.96

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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.