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Finding the Fourth Proportional to 419.44, 625.16 and 411.34

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Solution

The fourth proportional to 419.44, 625.16 and 411.34 is: 613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.44 : 625.16 = 411.34 : x
  2. Step 2: Convert to fraction form
    419.44/625.16 = 411.34/x
  3. Step 3: Cross multiply
    419.44x = 625.16 × 411.34
  4. Step 4: Simplify right side
    419.44x = 257,153.31
  5. Step 5: Solve for x
    x = 257,153.31/419.44
  6. Step 6: Final answer
    x = 613.09

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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.