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Finding the Fourth Proportional to 548.54, 823.15 and 343.51

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Solution

The fourth proportional to 548.54, 823.15 and 343.51 is: 515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.54 : 823.15 = 343.51 : x
  2. Step 2: Convert to fraction form
    548.54/823.15 = 343.51/x
  3. Step 3: Cross multiply
    548.54x = 823.15 × 343.51
  4. Step 4: Simplify right side
    548.54x = 282,755.28
  5. Step 5: Solve for x
    x = 282,755.28/548.54
  6. Step 6: Final answer
    x = 515.47

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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.