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Finding the Fourth Proportional to 419.39, 626.60 and 405.03

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Solution

The fourth proportional to 419.39, 626.60 and 405.03 is: 605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.39 : 626.60 = 405.03 : x
  2. Step 2: Convert to fraction form
    419.39/626.60 = 405.03/x
  3. Step 3: Cross multiply
    419.39x = 626.60 × 405.03
  4. Step 4: Simplify right side
    419.39x = 253,791.80
  5. Step 5: Solve for x
    x = 253,791.80/419.39
  6. Step 6: Final answer
    x = 605.15

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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.