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Finding the Fourth Proportional to 615.92, 922.32 and 409.86

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Solution

The fourth proportional to 615.92, 922.32 and 409.86 is: 613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.92 : 922.32 = 409.86 : x
  2. Step 2: Convert to fraction form
    615.92/922.32 = 409.86/x
  3. Step 3: Cross multiply
    615.92x = 922.32 × 409.86
  4. Step 4: Simplify right side
    615.92x = 378,022.08
  5. Step 5: Solve for x
    x = 378,022.08/615.92
  6. Step 6: Final answer
    x = 613.75

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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.