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Finding the Fourth Proportional to 513.63, 770.43 and 331.98

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Solution

The fourth proportional to 513.63, 770.43 and 331.98 is: 497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.63 : 770.43 = 331.98 : x
  2. Step 2: Convert to fraction form
    513.63/770.43 = 331.98/x
  3. Step 3: Cross multiply
    513.63x = 770.43 × 331.98
  4. Step 4: Simplify right side
    513.63x = 255,767.35
  5. Step 5: Solve for x
    x = 255,767.35/513.63
  6. Step 6: Final answer
    x = 497.96

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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.