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Finding the Fourth Proportional to 523.42, 725.63 and 495.68

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Solution

The fourth proportional to 523.42, 725.63 and 495.68 is: 687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.42 : 725.63 = 495.68 : x
  2. Step 2: Convert to fraction form
    523.42/725.63 = 495.68/x
  3. Step 3: Cross multiply
    523.42x = 725.63 × 495.68
  4. Step 4: Simplify right side
    523.42x = 359,680.28
  5. Step 5: Solve for x
    x = 359,680.28/523.42
  6. Step 6: Final answer
    x = 687.17

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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.