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Finding the Fourth Proportional to 439.50, 662.55 and 409.77

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Solution

The fourth proportional to 439.50, 662.55 and 409.77 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.50 : 662.55 = 409.77 : x
  2. Step 2: Convert to fraction form
    439.50/662.55 = 409.77/x
  3. Step 3: Cross multiply
    439.50x = 662.55 × 409.77
  4. Step 4: Simplify right side
    439.50x = 271,495.97
  5. Step 5: Solve for x
    x = 271,495.97/439.50
  6. Step 6: Final answer
    x = 617.74

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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.