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Finding the Fourth Proportional to 1,036.73, 1,555.67 and 806.09

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Solution

The fourth proportional to 1,036.73, 1,555.67 and 806.09 is: 1,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.73 : 1,555.67 = 806.09 : x
  2. Step 2: Convert to fraction form
    1,036.73/1,555.67 = 806.09/x
  3. Step 3: Cross multiply
    1,036.73x = 1,555.67 × 806.09
  4. Step 4: Simplify right side
    1,036.73x = 1,254,004.27
  5. Step 5: Solve for x
    x = 1,254,004.27/1,036.73
  6. Step 6: Final answer
    x = 1,209.57

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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.