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Finding the Fourth Proportional to 645.98, 892.76 and 488.57

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Solution

The fourth proportional to 645.98, 892.76 and 488.57 is: 675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.98 : 892.76 = 488.57 : x
  2. Step 2: Convert to fraction form
    645.98/892.76 = 488.57/x
  3. Step 3: Cross multiply
    645.98x = 892.76 × 488.57
  4. Step 4: Simplify right side
    645.98x = 436,172.97
  5. Step 5: Solve for x
    x = 436,172.97/645.98
  6. Step 6: Final answer
    x = 675.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.