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Finding the Fourth Proportional to 513.69, 770.64 and 262.89

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Solution

The fourth proportional to 513.69, 770.64 and 262.89 is: 394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.69 : 770.64 = 262.89 : x
  2. Step 2: Convert to fraction form
    513.69/770.64 = 262.89/x
  3. Step 3: Cross multiply
    513.69x = 770.64 × 262.89
  4. Step 4: Simplify right side
    513.69x = 202,592.24
  5. Step 5: Solve for x
    x = 202,592.24/513.69
  6. Step 6: Final answer
    x = 394.39

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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.