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Finding the Fourth Proportional to 517.92, 776.88 and 409.56

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Solution

The fourth proportional to 517.92, 776.88 and 409.56 is: 614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.92 : 776.88 = 409.56 : x
  2. Step 2: Convert to fraction form
    517.92/776.88 = 409.56/x
  3. Step 3: Cross multiply
    517.92x = 776.88 × 409.56
  4. Step 4: Simplify right side
    517.92x = 318,178.97
  5. Step 5: Solve for x
    x = 318,178.97/517.92
  6. Step 6: Final answer
    x = 614.34

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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.