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Finding the Fourth Proportional to 513.26, 770.23 and 423.05

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Solution

The fourth proportional to 513.26, 770.23 and 423.05 is: 634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.26 : 770.23 = 423.05 : x
  2. Step 2: Convert to fraction form
    513.26/770.23 = 423.05/x
  3. Step 3: Cross multiply
    513.26x = 770.23 × 423.05
  4. Step 4: Simplify right side
    513.26x = 325,845.84
  5. Step 5: Solve for x
    x = 325,845.84/513.26
  6. Step 6: Final answer
    x = 634.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.