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Finding the Fourth Proportional to 447.50, 616.87 and 385

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Solution

The fourth proportional to 447.50, 616.87 and 385 is: 530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 616.87 = 385 : x
  2. Step 2: Convert to fraction form
    447.50/616.87 = 385/x
  3. Step 3: Cross multiply
    447.50x = 616.87 × 385
  4. Step 4: Simplify right side
    447.50x = 237,494.95
  5. Step 5: Solve for x
    x = 237,494.95/447.50
  6. Step 6: Final answer
    x = 530.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.