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Finding the Fourth Proportional to 1,105.00, 1,664.07 and 962.44

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Solution

The fourth proportional to 1,105.00, 1,664.07 and 962.44 is: 1,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.00 : 1,664.07 = 962.44 : x
  2. Step 2: Convert to fraction form
    1,105.00/1,664.07 = 962.44/x
  3. Step 3: Cross multiply
    1,105.00x = 1,664.07 × 962.44
  4. Step 4: Simplify right side
    1,105.00x = 1,601,559.21
  5. Step 5: Solve for x
    x = 1,601,559.21/1,105.00
  6. Step 6: Final answer
    x = 1,449.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.