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Finding the Fourth Proportional to 406.60, 556.27 and 404.87

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Solution

The fourth proportional to 406.60, 556.27 and 404.87 is: 553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.60 : 556.27 = 404.87 : x
  2. Step 2: Convert to fraction form
    406.60/556.27 = 404.87/x
  3. Step 3: Cross multiply
    406.60x = 556.27 × 404.87
  4. Step 4: Simplify right side
    406.60x = 225,213.24
  5. Step 5: Solve for x
    x = 225,213.24/406.60
  6. Step 6: Final answer
    x = 553.90

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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.