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Finding the Fourth Proportional to 513.64, 711.99 and 485.90

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Solution

The fourth proportional to 513.64, 711.99 and 485.90 is: 673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.64 : 711.99 = 485.90 : x
  2. Step 2: Convert to fraction form
    513.64/711.99 = 485.90/x
  3. Step 3: Cross multiply
    513.64x = 711.99 × 485.90
  4. Step 4: Simplify right side
    513.64x = 345,955.05
  5. Step 5: Solve for x
    x = 345,955.05/513.64
  6. Step 6: Final answer
    x = 673.53

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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.