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Finding the Fourth Proportional to 439.08, 661.91 and 409.35

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Solution

The fourth proportional to 439.08, 661.91 and 409.35 is: 617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.08 : 661.91 = 409.35 : x
  2. Step 2: Convert to fraction form
    439.08/661.91 = 409.35/x
  3. Step 3: Cross multiply
    439.08x = 661.91 × 409.35
  4. Step 4: Simplify right side
    439.08x = 270,956.75
  5. Step 5: Solve for x
    x = 270,956.75/439.08
  6. Step 6: Final answer
    x = 617.10

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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.