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Finding the Fourth Proportional to 488.35, 735.16 and 445.97

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Solution

The fourth proportional to 488.35, 735.16 and 445.97 is: 671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.35 : 735.16 = 445.97 : x
  2. Step 2: Convert to fraction form
    488.35/735.16 = 445.97/x
  3. Step 3: Cross multiply
    488.35x = 735.16 × 445.97
  4. Step 4: Simplify right side
    488.35x = 327,858.98
  5. Step 5: Solve for x
    x = 327,858.98/488.35
  6. Step 6: Final answer
    x = 671.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.