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Finding the Fourth Proportional to 408.42, 609.24 and 403.14

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Solution

The fourth proportional to 408.42, 609.24 and 403.14 is: 601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 609.24 = 403.14 : x
  2. Step 2: Convert to fraction form
    408.42/609.24 = 403.14/x
  3. Step 3: Cross multiply
    408.42x = 609.24 × 403.14
  4. Step 4: Simplify right side
    408.42x = 245,609.01
  5. Step 5: Solve for x
    x = 245,609.01/408.42
  6. Step 6: Final answer
    x = 601.36

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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.