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Finding the Fourth Proportional to 997.50, 1,495.75 and 441.91

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Solution

The fourth proportional to 997.50, 1,495.75 and 441.91 is: 662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.50 : 1,495.75 = 441.91 : x
  2. Step 2: Convert to fraction form
    997.50/1,495.75 = 441.91/x
  3. Step 3: Cross multiply
    997.50x = 1,495.75 × 441.91
  4. Step 4: Simplify right side
    997.50x = 660,986.88
  5. Step 5: Solve for x
    x = 660,986.88/997.50
  6. Step 6: Final answer
    x = 662.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.