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Finding the Fourth Proportional to 412.34, 623.02 and 408.38

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Solution

The fourth proportional to 412.34, 623.02 and 408.38 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 623.02 = 408.38 : x
  2. Step 2: Convert to fraction form
    412.34/623.02 = 408.38/x
  3. Step 3: Cross multiply
    412.34x = 623.02 × 408.38
  4. Step 4: Simplify right side
    412.34x = 254,428.91
  5. Step 5: Solve for x
    x = 254,428.91/412.34
  6. Step 6: Final answer
    x = 617.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.