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Finding the Fourth Proportional to 468.60, 645.41 and 406.43

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Solution

The fourth proportional to 468.60, 645.41 and 406.43 is: 559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.60 : 645.41 = 406.43 : x
  2. Step 2: Convert to fraction form
    468.60/645.41 = 406.43/x
  3. Step 3: Cross multiply
    468.60x = 645.41 × 406.43
  4. Step 4: Simplify right side
    468.60x = 262,313.99
  5. Step 5: Solve for x
    x = 262,313.99/468.60
  6. Step 6: Final answer
    x = 559.78

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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.