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Finding the Fourth Proportional to 513.53, 712.31 and 495.09

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Solution

The fourth proportional to 513.53, 712.31 and 495.09 is: 686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.53 : 712.31 = 495.09 : x
  2. Step 2: Convert to fraction form
    513.53/712.31 = 495.09/x
  3. Step 3: Cross multiply
    513.53x = 712.31 × 495.09
  4. Step 4: Simplify right side
    513.53x = 352,655.08
  5. Step 5: Solve for x
    x = 352,655.08/513.53
  6. Step 6: Final answer
    x = 686.73

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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.