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Finding the Fourth Proportional to 1,205.00, 1,662.22 and 762.13

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Solution

The fourth proportional to 1,205.00, 1,662.22 and 762.13 is: 1,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.00 : 1,662.22 = 762.13 : x
  2. Step 2: Convert to fraction form
    1,205.00/1,662.22 = 762.13/x
  3. Step 3: Cross multiply
    1,205.00x = 1,662.22 × 762.13
  4. Step 4: Simplify right side
    1,205.00x = 1,266,835.43
  5. Step 5: Solve for x
    x = 1,266,835.43/1,205.00
  6. Step 6: Final answer
    x = 1,051.31

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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.