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Finding the Fourth Proportional to 548.24, 829.31 and 544.59

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Solution

The fourth proportional to 548.24, 829.31 and 544.59 is: 823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 829.31 = 544.59 : x
  2. Step 2: Convert to fraction form
    548.24/829.31 = 544.59/x
  3. Step 3: Cross multiply
    548.24x = 829.31 × 544.59
  4. Step 4: Simplify right side
    548.24x = 451,631.21
  5. Step 5: Solve for x
    x = 451,631.21/548.24
  6. Step 6: Final answer
    x = 823.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.