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Finding the Fourth Proportional to 548.42, 823.26 and 433.25

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Solution

The fourth proportional to 548.42, 823.26 and 433.25 is: 650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.42 : 823.26 = 433.25 : x
  2. Step 2: Convert to fraction form
    548.42/823.26 = 433.25/x
  3. Step 3: Cross multiply
    548.42x = 823.26 × 433.25
  4. Step 4: Simplify right side
    548.42x = 356,677.99
  5. Step 5: Solve for x
    x = 356,677.99/548.42
  6. Step 6: Final answer
    x = 650.37

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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.