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Finding the Fourth Proportional to 548.59, 823.01 and 386.59

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Solution

The fourth proportional to 548.59, 823.01 and 386.59 is: 579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.59 : 823.01 = 386.59 : x
  2. Step 2: Convert to fraction form
    548.59/823.01 = 386.59/x
  3. Step 3: Cross multiply
    548.59x = 823.01 × 386.59
  4. Step 4: Simplify right side
    548.59x = 318,163.80
  5. Step 5: Solve for x
    x = 318,163.80/548.59
  6. Step 6: Final answer
    x = 579.97

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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.