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Finding the Fourth Proportional to 550.47, 759.92 and 393.44

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Solution

The fourth proportional to 550.47, 759.92 and 393.44 is: 543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.47 : 759.92 = 393.44 : x
  2. Step 2: Convert to fraction form
    550.47/759.92 = 393.44/x
  3. Step 3: Cross multiply
    550.47x = 759.92 × 393.44
  4. Step 4: Simplify right side
    550.47x = 298,977.16
  5. Step 5: Solve for x
    x = 298,977.16/550.47
  6. Step 6: Final answer
    x = 543.13

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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.