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Finding the Fourth Proportional to 1,123.22, 1,550.50 and 808.54

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Solution

The fourth proportional to 1,123.22, 1,550.50 and 808.54 is: 1,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.22 : 1,550.50 = 808.54 : x
  2. Step 2: Convert to fraction form
    1,123.22/1,550.50 = 808.54/x
  3. Step 3: Cross multiply
    1,123.22x = 1,550.50 × 808.54
  4. Step 4: Simplify right side
    1,123.22x = 1,253,635.37
  5. Step 5: Solve for x
    x = 1,253,635.37/1,123.22
  6. Step 6: Final answer
    x = 1,116.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.