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Finding the Fourth Proportional to 523.79, 727.84 and 518.09

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Solution

The fourth proportional to 523.79, 727.84 and 518.09 is: 719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.79 : 727.84 = 518.09 : x
  2. Step 2: Convert to fraction form
    523.79/727.84 = 518.09/x
  3. Step 3: Cross multiply
    523.79x = 727.84 × 518.09
  4. Step 4: Simplify right side
    523.79x = 377,090.46
  5. Step 5: Solve for x
    x = 377,090.46/523.79
  6. Step 6: Final answer
    x = 719.93

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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.