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Finding the Fourth Proportional to 419.23, 623.90 and 405.73

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Solution

The fourth proportional to 419.23, 623.90 and 405.73 is: 603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.23 : 623.90 = 405.73 : x
  2. Step 2: Convert to fraction form
    419.23/623.90 = 405.73/x
  3. Step 3: Cross multiply
    419.23x = 623.90 × 405.73
  4. Step 4: Simplify right side
    419.23x = 253,134.95
  5. Step 5: Solve for x
    x = 253,134.95/419.23
  6. Step 6: Final answer
    x = 603.81

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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.