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Finding the Fourth Proportional to 513.75, 770.85 and 254.01

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Solution

The fourth proportional to 513.75, 770.85 and 254.01 is: 381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.75 : 770.85 = 254.01 : x
  2. Step 2: Convert to fraction form
    513.75/770.85 = 254.01/x
  3. Step 3: Cross multiply
    513.75x = 770.85 × 254.01
  4. Step 4: Simplify right side
    513.75x = 195,803.61
  5. Step 5: Solve for x
    x = 195,803.61/513.75
  6. Step 6: Final answer
    x = 381.13

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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.