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Finding the Fourth Proportional to 419.23, 624.38 and 414.37

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Solution

The fourth proportional to 419.23, 624.38 and 414.37 is: 617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.23 : 624.38 = 414.37 : x
  2. Step 2: Convert to fraction form
    419.23/624.38 = 414.37/x
  3. Step 3: Cross multiply
    419.23x = 624.38 × 414.37
  4. Step 4: Simplify right side
    419.23x = 258,724.34
  5. Step 5: Solve for x
    x = 258,724.34/419.23
  6. Step 6: Final answer
    x = 617.14

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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.