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Finding the Fourth Proportional to 1,022.00, 1,412.01 and 798.75

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Solution

The fourth proportional to 1,022.00, 1,412.01 and 798.75 is: 1,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.00 : 1,412.01 = 798.75 : x
  2. Step 2: Convert to fraction form
    1,022.00/1,412.01 = 798.75/x
  3. Step 3: Cross multiply
    1,022.00x = 1,412.01 × 798.75
  4. Step 4: Simplify right side
    1,022.00x = 1,127,842.99
  5. Step 5: Solve for x
    x = 1,127,842.99/1,022.00
  6. Step 6: Final answer
    x = 1,103.57

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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.