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Finding the Fourth Proportional to 408.24, 609.66 and 400.14

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Solution

The fourth proportional to 408.24, 609.66 and 400.14 is: 597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.24 : 609.66 = 400.14 : x
  2. Step 2: Convert to fraction form
    408.24/609.66 = 400.14/x
  3. Step 3: Cross multiply
    408.24x = 609.66 × 400.14
  4. Step 4: Simplify right side
    408.24x = 243,949.35
  5. Step 5: Solve for x
    x = 243,949.35/408.24
  6. Step 6: Final answer
    x = 597.56

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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.