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Finding the Fourth Proportional to 1,109.29, 1,664.59 and 641.36

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Solution

The fourth proportional to 1,109.29, 1,664.59 and 641.36 is: 962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.29 : 1,664.59 = 641.36 : x
  2. Step 2: Convert to fraction form
    1,109.29/1,664.59 = 641.36/x
  3. Step 3: Cross multiply
    1,109.29x = 1,664.59 × 641.36
  4. Step 4: Simplify right side
    1,109.29x = 1,067,593.12
  5. Step 5: Solve for x
    x = 1,067,593.12/1,109.29
  6. Step 6: Final answer
    x = 962.41

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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.