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Finding the Fourth Proportional to 615.35, 923.00 and 442.82

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Solution

The fourth proportional to 615.35, 923.00 and 442.82 is: 664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.35 : 923.00 = 442.82 : x
  2. Step 2: Convert to fraction form
    615.35/923.00 = 442.82/x
  3. Step 3: Cross multiply
    615.35x = 923.00 × 442.82
  4. Step 4: Simplify right side
    615.35x = 408,716.03
  5. Step 5: Solve for x
    x = 408,716.03/615.35
  6. Step 6: Final answer
    x = 664.21

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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.