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Finding the Fourth Proportional to 513.92, 769.28 and 485.76

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Solution

The fourth proportional to 513.92, 769.28 and 485.76 is: 727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.92 : 769.28 = 485.76 : x
  2. Step 2: Convert to fraction form
    513.92/769.28 = 485.76/x
  3. Step 3: Cross multiply
    513.92x = 769.28 × 485.76
  4. Step 4: Simplify right side
    513.92x = 373,685.45
  5. Step 5: Solve for x
    x = 373,685.45/513.92
  6. Step 6: Final answer
    x = 727.13

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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.