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Finding the Fourth Proportional to 513.92, 770.72 and 270.56

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Solution

The fourth proportional to 513.92, 770.72 and 270.56 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.92 : 770.72 = 270.56 : x
  2. Step 2: Convert to fraction form
    513.92/770.72 = 270.56/x
  3. Step 3: Cross multiply
    513.92x = 770.72 × 270.56
  4. Step 4: Simplify right side
    513.92x = 208,526.00
  5. Step 5: Solve for x
    x = 208,526.00/513.92
  6. Step 6: Final answer
    x = 405.76

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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.