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Finding the Fourth Proportional to 518.16, 776.02 and 409.22

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Solution

The fourth proportional to 518.16, 776.02 and 409.22 is: 612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.16 : 776.02 = 409.22 : x
  2. Step 2: Convert to fraction form
    518.16/776.02 = 409.22/x
  3. Step 3: Cross multiply
    518.16x = 776.02 × 409.22
  4. Step 4: Simplify right side
    518.16x = 317,562.90
  5. Step 5: Solve for x
    x = 317,562.90/518.16
  6. Step 6: Final answer
    x = 612.87

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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.