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Finding the Fourth Proportional to 447.45, 614.87 and 364.38

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Solution

The fourth proportional to 447.45, 614.87 and 364.38 is: 500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.45 : 614.87 = 364.38 : x
  2. Step 2: Convert to fraction form
    447.45/614.87 = 364.38/x
  3. Step 3: Cross multiply
    447.45x = 614.87 × 364.38
  4. Step 4: Simplify right side
    447.45x = 224,044.51
  5. Step 5: Solve for x
    x = 224,044.51/447.45
  6. Step 6: Final answer
    x = 500.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.