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Finding the Fourth Proportional to 418.24, 629.77 and 345.81

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Solution

The fourth proportional to 418.24, 629.77 and 345.81 is: 520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.24 : 629.77 = 345.81 : x
  2. Step 2: Convert to fraction form
    418.24/629.77 = 345.81/x
  3. Step 3: Cross multiply
    418.24x = 629.77 × 345.81
  4. Step 4: Simplify right side
    418.24x = 217,780.76
  5. Step 5: Solve for x
    x = 217,780.76/418.24
  6. Step 6: Final answer
    x = 520.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.