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Finding the Fourth Proportional to 1,266.29, 1,745.11 and 911.61

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Solution

The fourth proportional to 1,266.29, 1,745.11 and 911.61 is: 1,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.29 : 1,745.11 = 911.61 : x
  2. Step 2: Convert to fraction form
    1,266.29/1,745.11 = 911.61/x
  3. Step 3: Cross multiply
    1,266.29x = 1,745.11 × 911.61
  4. Step 4: Simplify right side
    1,266.29x = 1,590,857.45
  5. Step 5: Solve for x
    x = 1,590,857.45/1,266.29
  6. Step 6: Final answer
    x = 1,256.32

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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.