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Finding the Fourth Proportional to 1,072.75, 1,607.68 and 487.03

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Solution

The fourth proportional to 1,072.75, 1,607.68 and 487.03 is: 729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.75 : 1,607.68 = 487.03 : x
  2. Step 2: Convert to fraction form
    1,072.75/1,607.68 = 487.03/x
  3. Step 3: Cross multiply
    1,072.75x = 1,607.68 × 487.03
  4. Step 4: Simplify right side
    1,072.75x = 782,984.98
  5. Step 5: Solve for x
    x = 782,984.98/1,072.75
  6. Step 6: Final answer
    x = 729.88

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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.