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Finding the Fourth Proportional to 416.44, 620.50 and 397.81

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Solution

The fourth proportional to 416.44, 620.50 and 397.81 is: 592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.44 : 620.50 = 397.81 : x
  2. Step 2: Convert to fraction form
    416.44/620.50 = 397.81/x
  3. Step 3: Cross multiply
    416.44x = 620.50 × 397.81
  4. Step 4: Simplify right side
    416.44x = 246,836.01
  5. Step 5: Solve for x
    x = 246,836.01/416.44
  6. Step 6: Final answer
    x = 592.74

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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.