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Finding the Fourth Proportional to 419.21, 623.18 and 406.92

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Solution

The fourth proportional to 419.21, 623.18 and 406.92 is: 604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.21 : 623.18 = 406.92 : x
  2. Step 2: Convert to fraction form
    419.21/623.18 = 406.92/x
  3. Step 3: Cross multiply
    419.21x = 623.18 × 406.92
  4. Step 4: Simplify right side
    419.21x = 253,584.41
  5. Step 5: Solve for x
    x = 253,584.41/419.21
  6. Step 6: Final answer
    x = 604.91

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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.