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Finding the Fourth Proportional to 523.90, 723.09 and 399.37

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Solution

The fourth proportional to 523.90, 723.09 and 399.37 is: 551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.90 : 723.09 = 399.37 : x
  2. Step 2: Convert to fraction form
    523.90/723.09 = 399.37/x
  3. Step 3: Cross multiply
    523.90x = 723.09 × 399.37
  4. Step 4: Simplify right side
    523.90x = 288,780.45
  5. Step 5: Solve for x
    x = 288,780.45/523.90
  6. Step 6: Final answer
    x = 551.21

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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.