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Finding the Fourth Proportional to 538.78, 806.94 and 321.91

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Solution

The fourth proportional to 538.78, 806.94 and 321.91 is: 482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.78 : 806.94 = 321.91 : x
  2. Step 2: Convert to fraction form
    538.78/806.94 = 321.91/x
  3. Step 3: Cross multiply
    538.78x = 806.94 × 321.91
  4. Step 4: Simplify right side
    538.78x = 259,762.06
  5. Step 5: Solve for x
    x = 259,762.06/538.78
  6. Step 6: Final answer
    x = 482.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.