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Finding the Fourth Proportional to 1,072.82, 1,607.50 and 455.09

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Solution

The fourth proportional to 1,072.82, 1,607.50 and 455.09 is: 681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.82 : 1,607.50 = 455.09 : x
  2. Step 2: Convert to fraction form
    1,072.82/1,607.50 = 455.09/x
  3. Step 3: Cross multiply
    1,072.82x = 1,607.50 × 455.09
  4. Step 4: Simplify right side
    1,072.82x = 731,554.90
  5. Step 5: Solve for x
    x = 731,554.90/1,072.82
  6. Step 6: Final answer
    x = 681.90

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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.