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Finding the Fourth Proportional to 409.42, 617.92 and 409.42

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Solution

The fourth proportional to 409.42, 617.92 and 409.42 is: 617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.42 : 617.92 = 409.42 : x
  2. Step 2: Convert to fraction form
    409.42/617.92 = 409.42/x
  3. Step 3: Cross multiply
    409.42x = 617.92 × 409.42
  4. Step 4: Simplify right side
    409.42x = 252,988.81
  5. Step 5: Solve for x
    x = 252,988.81/409.42
  6. Step 6: Final answer
    x = 617.92

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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.