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Finding the Fourth Proportional to 494.71, 738.05 and 445.50

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Solution

The fourth proportional to 494.71, 738.05 and 445.50 is: 664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.71 : 738.05 = 445.50 : x
  2. Step 2: Convert to fraction form
    494.71/738.05 = 445.50/x
  3. Step 3: Cross multiply
    494.71x = 738.05 × 445.50
  4. Step 4: Simplify right side
    494.71x = 328,801.28
  5. Step 5: Solve for x
    x = 328,801.28/494.71
  6. Step 6: Final answer
    x = 664.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.