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Finding the Fourth Proportional to 403.97, 558.65 and 396.68

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Solution

The fourth proportional to 403.97, 558.65 and 396.68 is: 548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.97 : 558.65 = 396.68 : x
  2. Step 2: Convert to fraction form
    403.97/558.65 = 396.68/x
  3. Step 3: Cross multiply
    403.97x = 558.65 × 396.68
  4. Step 4: Simplify right side
    403.97x = 221,603.30
  5. Step 5: Solve for x
    x = 221,603.30/403.97
  6. Step 6: Final answer
    x = 548.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.