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Finding the Fourth Proportional to 615.85, 923.09 and 307.96

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Solution

The fourth proportional to 615.85, 923.09 and 307.96 is: 461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.85 : 923.09 = 307.96 : x
  2. Step 2: Convert to fraction form
    615.85/923.09 = 307.96/x
  3. Step 3: Cross multiply
    615.85x = 923.09 × 307.96
  4. Step 4: Simplify right side
    615.85x = 284,270.95
  5. Step 5: Solve for x
    x = 284,270.95/615.85
  6. Step 6: Final answer
    x = 461.59

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Double scale
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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.