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Finding the Fourth Proportional to 1,636.10, 2,453.67 and 711.44

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Solution

The fourth proportional to 1,636.10, 2,453.67 and 711.44 is: 1,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.10 : 2,453.67 = 711.44 : x
  2. Step 2: Convert to fraction form
    1,636.10/2,453.67 = 711.44/x
  3. Step 3: Cross multiply
    1,636.10x = 2,453.67 × 711.44
  4. Step 4: Simplify right side
    1,636.10x = 1,745,638.98
  5. Step 5: Solve for x
    x = 1,745,638.98/1,636.10
  6. Step 6: Final answer
    x = 1,066.95

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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.