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Finding the Fourth Proportional to 513.26, 770.27 and 376.66

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Solution

The fourth proportional to 513.26, 770.27 and 376.66 is: 565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.26 : 770.27 = 376.66 : x
  2. Step 2: Convert to fraction form
    513.26/770.27 = 376.66/x
  3. Step 3: Cross multiply
    513.26x = 770.27 × 376.66
  4. Step 4: Simplify right side
    513.26x = 290,129.90
  5. Step 5: Solve for x
    x = 290,129.90/513.26
  6. Step 6: Final answer
    x = 565.27

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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.