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Finding the Fourth Proportional to 416.79, 620.89 and 409.91

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Solution

The fourth proportional to 416.79, 620.89 and 409.91 is: 610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.79 : 620.89 = 409.91 : x
  2. Step 2: Convert to fraction form
    416.79/620.89 = 409.91/x
  3. Step 3: Cross multiply
    416.79x = 620.89 × 409.91
  4. Step 4: Simplify right side
    416.79x = 254,504.89
  5. Step 5: Solve for x
    x = 254,504.89/416.79
  6. Step 6: Final answer
    x = 610.63

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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.