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Finding the Fourth Proportional to 518.80, 776.60 and 409.04

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Solution

The fourth proportional to 518.80, 776.60 and 409.04 is: 612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.80 : 776.60 = 409.04 : x
  2. Step 2: Convert to fraction form
    518.80/776.60 = 409.04/x
  3. Step 3: Cross multiply
    518.80x = 776.60 × 409.04
  4. Step 4: Simplify right side
    518.80x = 317,660.46
  5. Step 5: Solve for x
    x = 317,660.46/518.80
  6. Step 6: Final answer
    x = 612.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.