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Finding the Fourth Proportional to 523.19, 779.98 and 482.09

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Solution

The fourth proportional to 523.19, 779.98 and 482.09 is: 718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.19 : 779.98 = 482.09 : x
  2. Step 2: Convert to fraction form
    523.19/779.98 = 482.09/x
  3. Step 3: Cross multiply
    523.19x = 779.98 × 482.09
  4. Step 4: Simplify right side
    523.19x = 376,020.56
  5. Step 5: Solve for x
    x = 376,020.56/523.19
  6. Step 6: Final answer
    x = 718.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.