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Finding the Fourth Proportional to 615.52, 923.82 and 409.78

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Solution

The fourth proportional to 615.52, 923.82 and 409.78 is: 615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.52 : 923.82 = 409.78 : x
  2. Step 2: Convert to fraction form
    615.52/923.82 = 409.78/x
  3. Step 3: Cross multiply
    615.52x = 923.82 × 409.78
  4. Step 4: Simplify right side
    615.52x = 378,562.96
  5. Step 5: Solve for x
    x = 378,562.96/615.52
  6. Step 6: Final answer
    x = 615.03

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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.