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Finding the Fourth Proportional to 608.36, 839.20 and 409.28

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Solution

The fourth proportional to 608.36, 839.20 and 409.28 is: 564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.36 : 839.20 = 409.28 : x
  2. Step 2: Convert to fraction form
    608.36/839.20 = 409.28/x
  3. Step 3: Cross multiply
    608.36x = 839.20 × 409.28
  4. Step 4: Simplify right side
    608.36x = 343,467.78
  5. Step 5: Solve for x
    x = 343,467.78/608.36
  6. Step 6: Final answer
    x = 564.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.