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Finding the Fourth Proportional to 523.15, 725.69 and 495.47

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Solution

The fourth proportional to 523.15, 725.69 and 495.47 is: 687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.15 : 725.69 = 495.47 : x
  2. Step 2: Convert to fraction form
    523.15/725.69 = 495.47/x
  3. Step 3: Cross multiply
    523.15x = 725.69 × 495.47
  4. Step 4: Simplify right side
    523.15x = 359,557.62
  5. Step 5: Solve for x
    x = 359,557.62/523.15
  6. Step 6: Final answer
    x = 687.29

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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.