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Finding the Fourth Proportional to 405.86, 556.33 and 400.39

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Solution

The fourth proportional to 405.86, 556.33 and 400.39 is: 548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 556.33 = 400.39 : x
  2. Step 2: Convert to fraction form
    405.86/556.33 = 400.39/x
  3. Step 3: Cross multiply
    405.86x = 556.33 × 400.39
  4. Step 4: Simplify right side
    405.86x = 222,748.97
  5. Step 5: Solve for x
    x = 222,748.97/405.86
  6. Step 6: Final answer
    x = 548.83

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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.