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Finding the Fourth Proportional to 439.08, 654.74 and 409.29

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Solution

The fourth proportional to 439.08, 654.74 and 409.29 is: 610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.08 : 654.74 = 409.29 : x
  2. Step 2: Convert to fraction form
    439.08/654.74 = 409.29/x
  3. Step 3: Cross multiply
    439.08x = 654.74 × 409.29
  4. Step 4: Simplify right side
    439.08x = 267,976.49
  5. Step 5: Solve for x
    x = 267,976.49/439.08
  6. Step 6: Final answer
    x = 610.31

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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.