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Finding the Fourth Proportional to 513.68, 770.52 and 257.12

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Solution

The fourth proportional to 513.68, 770.52 and 257.12 is: 385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.68 : 770.52 = 257.12 : x
  2. Step 2: Convert to fraction form
    513.68/770.52 = 257.12/x
  3. Step 3: Cross multiply
    513.68x = 770.52 × 257.12
  4. Step 4: Simplify right side
    513.68x = 198,116.10
  5. Step 5: Solve for x
    x = 198,116.10/513.68
  6. Step 6: Final answer
    x = 385.68

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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.