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Finding the Fourth Proportional to 513.25, 711.54 and 485.54

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Solution

The fourth proportional to 513.25, 711.54 and 485.54 is: 673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.25 : 711.54 = 485.54 : x
  2. Step 2: Convert to fraction form
    513.25/711.54 = 485.54/x
  3. Step 3: Cross multiply
    513.25x = 711.54 × 485.54
  4. Step 4: Simplify right side
    513.25x = 345,478.70
  5. Step 5: Solve for x
    x = 345,478.70/513.25
  6. Step 6: Final answer
    x = 673.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.