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Finding the Fourth Proportional to 548.47, 821.38 and 399.82

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Solution

The fourth proportional to 548.47, 821.38 and 399.82 is: 598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.47 : 821.38 = 399.82 : x
  2. Step 2: Convert to fraction form
    548.47/821.38 = 399.82/x
  3. Step 3: Cross multiply
    548.47x = 821.38 × 399.82
  4. Step 4: Simplify right side
    548.47x = 328,407.20
  5. Step 5: Solve for x
    x = 328,407.20/548.47
  6. Step 6: Final answer
    x = 598.78

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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.