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Finding the Fourth Proportional to 501.92, 688.96 and 445.43

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Solution

The fourth proportional to 501.92, 688.96 and 445.43 is: 611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.92 : 688.96 = 445.43 : x
  2. Step 2: Convert to fraction form
    501.92/688.96 = 445.43/x
  3. Step 3: Cross multiply
    501.92x = 688.96 × 445.43
  4. Step 4: Simplify right side
    501.92x = 306,883.45
  5. Step 5: Solve for x
    x = 306,883.45/501.92
  6. Step 6: Final answer
    x = 611.42

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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.