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Finding the Fourth Proportional to 548.24, 819.86 and 409.51

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Solution

The fourth proportional to 548.24, 819.86 and 409.51 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 819.86 = 409.51 : x
  2. Step 2: Convert to fraction form
    548.24/819.86 = 409.51/x
  3. Step 3: Cross multiply
    548.24x = 819.86 × 409.51
  4. Step 4: Simplify right side
    548.24x = 335,743.43
  5. Step 5: Solve for x
    x = 335,743.43/548.24
  6. Step 6: Final answer
    x = 612.40

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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.