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Finding the Fourth Proportional to 720.44, 992.82 and 523.64

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Solution

The fourth proportional to 720.44, 992.82 and 523.64 is: 721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.44 : 992.82 = 523.64 : x
  2. Step 2: Convert to fraction form
    720.44/992.82 = 523.64/x
  3. Step 3: Cross multiply
    720.44x = 992.82 × 523.64
  4. Step 4: Simplify right side
    720.44x = 519,880.26
  5. Step 5: Solve for x
    x = 519,880.26/720.44
  6. Step 6: Final answer
    x = 721.61

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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.