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Finding the Fourth Proportional to 1,102.94, 1,522.13 and 729.26

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Solution

The fourth proportional to 1,102.94, 1,522.13 and 729.26 is: 1,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.94 : 1,522.13 = 729.26 : x
  2. Step 2: Convert to fraction form
    1,102.94/1,522.13 = 729.26/x
  3. Step 3: Cross multiply
    1,102.94x = 1,522.13 × 729.26
  4. Step 4: Simplify right side
    1,102.94x = 1,110,028.68
  5. Step 5: Solve for x
    x = 1,110,028.68/1,102.94
  6. Step 6: Final answer
    x = 1,006.43

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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.