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Finding the Fourth Proportional to 425.42, 637.44 and 409.44

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Solution

The fourth proportional to 425.42, 637.44 and 409.44 is: 613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.42 : 637.44 = 409.44 : x
  2. Step 2: Convert to fraction form
    425.42/637.44 = 409.44/x
  3. Step 3: Cross multiply
    425.42x = 637.44 × 409.44
  4. Step 4: Simplify right side
    425.42x = 260,993.43
  5. Step 5: Solve for x
    x = 260,993.43/425.42
  6. Step 6: Final answer
    x = 613.50

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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.