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Finding the Fourth Proportional to 416.27, 620.82 and 402.60

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Solution

The fourth proportional to 416.27, 620.82 and 402.60 is: 600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.27 : 620.82 = 402.60 : x
  2. Step 2: Convert to fraction form
    416.27/620.82 = 402.60/x
  3. Step 3: Cross multiply
    416.27x = 620.82 × 402.60
  4. Step 4: Simplify right side
    416.27x = 249,942.13
  5. Step 5: Solve for x
    x = 249,942.13/416.27
  6. Step 6: Final answer
    x = 600.44

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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.