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Finding the Fourth Proportional to 409.62, 611.16 and 400.27

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Solution

The fourth proportional to 409.62, 611.16 and 400.27 is: 597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.62 : 611.16 = 400.27 : x
  2. Step 2: Convert to fraction form
    409.62/611.16 = 400.27/x
  3. Step 3: Cross multiply
    409.62x = 611.16 × 400.27
  4. Step 4: Simplify right side
    409.62x = 244,629.01
  5. Step 5: Solve for x
    x = 244,629.01/409.62
  6. Step 6: Final answer
    x = 597.21

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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.