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Finding the Fourth Proportional to 416.05, 621.45 and 323.79

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Solution

The fourth proportional to 416.05, 621.45 and 323.79 is: 483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.05 : 621.45 = 323.79 : x
  2. Step 2: Convert to fraction form
    416.05/621.45 = 323.79/x
  3. Step 3: Cross multiply
    416.05x = 621.45 × 323.79
  4. Step 4: Simplify right side
    416.05x = 201,214.57
  5. Step 5: Solve for x
    x = 201,214.57/416.05
  6. Step 6: Final answer
    x = 483.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.