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Finding the Fourth Proportional to 403.86, 553.59 and 398.39

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Solution

The fourth proportional to 403.86, 553.59 and 398.39 is: 546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.86 : 553.59 = 398.39 : x
  2. Step 2: Convert to fraction form
    403.86/553.59 = 398.39/x
  3. Step 3: Cross multiply
    403.86x = 553.59 × 398.39
  4. Step 4: Simplify right side
    403.86x = 220,544.72
  5. Step 5: Solve for x
    x = 220,544.72/403.86
  6. Step 6: Final answer
    x = 546.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.