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Finding the Fourth Proportional to 447.38, 616.28 and 380.78

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Solution

The fourth proportional to 447.38, 616.28 and 380.78 is: 524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.38 : 616.28 = 380.78 : x
  2. Step 2: Convert to fraction form
    447.38/616.28 = 380.78/x
  3. Step 3: Cross multiply
    447.38x = 616.28 × 380.78
  4. Step 4: Simplify right side
    447.38x = 234,663.54
  5. Step 5: Solve for x
    x = 234,663.54/447.38
  6. Step 6: Final answer
    x = 524.53

Related Problems

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Double scale
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1.5x scale

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.