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Finding the Fourth Proportional to 424.36, 637.26 and 416.44

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Solution

The fourth proportional to 424.36, 637.26 and 416.44 is: 625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.36 : 637.26 = 416.44 : x
  2. Step 2: Convert to fraction form
    424.36/637.26 = 416.44/x
  3. Step 3: Cross multiply
    424.36x = 637.26 × 416.44
  4. Step 4: Simplify right side
    424.36x = 265,380.55
  5. Step 5: Solve for x
    x = 265,380.55/424.36
  6. Step 6: Final answer
    x = 625.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.