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Finding the Fourth Proportional to 412.08, 614.48 and 408.42

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Solution

The fourth proportional to 412.08, 614.48 and 408.42 is: 609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.08 : 614.48 = 408.42 : x
  2. Step 2: Convert to fraction form
    412.08/614.48 = 408.42/x
  3. Step 3: Cross multiply
    412.08x = 614.48 × 408.42
  4. Step 4: Simplify right side
    412.08x = 250,963.88
  5. Step 5: Solve for x
    x = 250,963.88/412.08
  6. Step 6: Final answer
    x = 609.02

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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.