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Finding the Fourth Proportional to 538.92, 809.10 and 442.44

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Solution

The fourth proportional to 538.92, 809.10 and 442.44 is: 664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.92 : 809.10 = 442.44 : x
  2. Step 2: Convert to fraction form
    538.92/809.10 = 442.44/x
  3. Step 3: Cross multiply
    538.92x = 809.10 × 442.44
  4. Step 4: Simplify right side
    538.92x = 357,978.20
  5. Step 5: Solve for x
    x = 357,978.20/538.92
  6. Step 6: Final answer
    x = 664.25

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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.