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Finding the Fourth Proportional to 523.92, 721.62 and 484.98

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Solution

The fourth proportional to 523.92, 721.62 and 484.98 is: 667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.92 : 721.62 = 484.98 : x
  2. Step 2: Convert to fraction form
    523.92/721.62 = 484.98/x
  3. Step 3: Cross multiply
    523.92x = 721.62 × 484.98
  4. Step 4: Simplify right side
    523.92x = 349,971.27
  5. Step 5: Solve for x
    x = 349,971.27/523.92
  6. Step 6: Final answer
    x = 667.99

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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.