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Finding the Fourth Proportional to 548.43, 821.18 and 433.10

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Solution

The fourth proportional to 548.43, 821.18 and 433.10 is: 648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.43 : 821.18 = 433.10 : x
  2. Step 2: Convert to fraction form
    548.43/821.18 = 433.10/x
  3. Step 3: Cross multiply
    548.43x = 821.18 × 433.10
  4. Step 4: Simplify right side
    548.43x = 355,650.03
  5. Step 5: Solve for x
    x = 355,650.03/548.43
  6. Step 6: Final answer
    x = 648.49

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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.