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Finding the Fourth Proportional to 523.10, 721.65 and 365.75

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Solution

The fourth proportional to 523.10, 721.65 and 365.75 is: 504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.10 : 721.65 = 365.75 : x
  2. Step 2: Convert to fraction form
    523.10/721.65 = 365.75/x
  3. Step 3: Cross multiply
    523.10x = 721.65 × 365.75
  4. Step 4: Simplify right side
    523.10x = 263,939.88
  5. Step 5: Solve for x
    x = 263,939.88/523.10
  6. Step 6: Final answer
    x = 504.57

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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.