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Finding the Fourth Proportional to 419.38, 629.08 and 409.06

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Solution

The fourth proportional to 419.38, 629.08 and 409.06 is: 613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.38 : 629.08 = 409.06 : x
  2. Step 2: Convert to fraction form
    419.38/629.08 = 409.06/x
  3. Step 3: Cross multiply
    419.38x = 629.08 × 409.06
  4. Step 4: Simplify right side
    419.38x = 257,331.46
  5. Step 5: Solve for x
    x = 257,331.46/419.38
  6. Step 6: Final answer
    x = 613.60

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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.