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Finding the Fourth Proportional to 523.87, 723.27 and 349.72

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Solution

The fourth proportional to 523.87, 723.27 and 349.72 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.87 : 723.27 = 349.72 : x
  2. Step 2: Convert to fraction form
    523.87/723.27 = 349.72/x
  3. Step 3: Cross multiply
    523.87x = 723.27 × 349.72
  4. Step 4: Simplify right side
    523.87x = 252,941.98
  5. Step 5: Solve for x
    x = 252,941.98/523.87
  6. Step 6: Final answer
    x = 482.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.