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Finding the Fourth Proportional to 523.92, 721.37 and 445.08

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Solution

The fourth proportional to 523.92, 721.37 and 445.08 is: 612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.92 : 721.37 = 445.08 : x
  2. Step 2: Convert to fraction form
    523.92/721.37 = 445.08/x
  3. Step 3: Cross multiply
    523.92x = 721.37 × 445.08
  4. Step 4: Simplify right side
    523.92x = 321,065.13
  5. Step 5: Solve for x
    x = 321,065.13/523.92
  6. Step 6: Final answer
    x = 612.81

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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.