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Finding the Fourth Proportional to 800.56, 1,194.72 and 790.23

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Solution

The fourth proportional to 800.56, 1,194.72 and 790.23 is: 1,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.56 : 1,194.72 = 790.23 : x
  2. Step 2: Convert to fraction form
    800.56/1,194.72 = 790.23/x
  3. Step 3: Cross multiply
    800.56x = 1,194.72 × 790.23
  4. Step 4: Simplify right side
    800.56x = 944,103.59
  5. Step 5: Solve for x
    x = 944,103.59/800.56
  6. Step 6: Final answer
    x = 1,179.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.