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Finding the Fourth Proportional to 419.57, 629.99 and 398.98

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Solution

The fourth proportional to 419.57, 629.99 and 398.98 is: 599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.57 : 629.99 = 398.98 : x
  2. Step 2: Convert to fraction form
    419.57/629.99 = 398.98/x
  3. Step 3: Cross multiply
    419.57x = 629.99 × 398.98
  4. Step 4: Simplify right side
    419.57x = 251,353.41
  5. Step 5: Solve for x
    x = 251,353.41/419.57
  6. Step 6: Final answer
    x = 599.07

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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.