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Finding the Fourth Proportional to 1,121.76, 1,682.96 and 544.96

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Solution

The fourth proportional to 1,121.76, 1,682.96 and 544.96 is: 817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.76 : 1,682.96 = 544.96 : x
  2. Step 2: Convert to fraction form
    1,121.76/1,682.96 = 544.96/x
  3. Step 3: Cross multiply
    1,121.76x = 1,682.96 × 544.96
  4. Step 4: Simplify right side
    1,121.76x = 917,145.88
  5. Step 5: Solve for x
    x = 917,145.88/1,121.76
  6. Step 6: Final answer
    x = 817.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.