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Finding the Fourth Proportional to 616.63, 925.01 and 308.29

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Solution

The fourth proportional to 616.63, 925.01 and 308.29 is: 462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.63 : 925.01 = 308.29 : x
  2. Step 2: Convert to fraction form
    616.63/925.01 = 308.29/x
  3. Step 3: Cross multiply
    616.63x = 925.01 × 308.29
  4. Step 4: Simplify right side
    616.63x = 285,171.33
  5. Step 5: Solve for x
    x = 285,171.33/616.63
  6. Step 6: Final answer
    x = 462.47

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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.