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Finding the Fourth Proportional to 488.75, 735.74 and 445.68

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Solution

The fourth proportional to 488.75, 735.74 and 445.68 is: 670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.75 : 735.74 = 445.68 : x
  2. Step 2: Convert to fraction form
    488.75/735.74 = 445.68/x
  3. Step 3: Cross multiply
    488.75x = 735.74 × 445.68
  4. Step 4: Simplify right side
    488.75x = 327,902.37
  5. Step 5: Solve for x
    x = 327,902.37/488.75
  6. Step 6: Final answer
    x = 670.91

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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.