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Finding the Fourth Proportional to 548.58, 822.74 and 343.05

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Solution

The fourth proportional to 548.58, 822.74 and 343.05 is: 514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.58 : 822.74 = 343.05 : x
  2. Step 2: Convert to fraction form
    548.58/822.74 = 343.05/x
  3. Step 3: Cross multiply
    548.58x = 822.74 × 343.05
  4. Step 4: Simplify right side
    548.58x = 282,239.24
  5. Step 5: Solve for x
    x = 282,239.24/548.58
  6. Step 6: Final answer
    x = 514.49

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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.