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Finding the Fourth Proportional to 450.78, 624.71 and 364.38

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Solution

The fourth proportional to 450.78, 624.71 and 364.38 is: 504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.78 : 624.71 = 364.38 : x
  2. Step 2: Convert to fraction form
    450.78/624.71 = 364.38/x
  3. Step 3: Cross multiply
    450.78x = 624.71 × 364.38
  4. Step 4: Simplify right side
    450.78x = 227,630.01
  5. Step 5: Solve for x
    x = 227,630.01/450.78
  6. Step 6: Final answer
    x = 504.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.