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Finding the Fourth Proportional to 616.53, 923.80 and 308.08

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Solution

The fourth proportional to 616.53, 923.80 and 308.08 is: 461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.53 : 923.80 = 308.08 : x
  2. Step 2: Convert to fraction form
    616.53/923.80 = 308.08/x
  3. Step 3: Cross multiply
    616.53x = 923.80 × 308.08
  4. Step 4: Simplify right side
    616.53x = 284,604.30
  5. Step 5: Solve for x
    x = 284,604.30/616.53
  6. Step 6: Final answer
    x = 461.62

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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.