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Finding the Fourth Proportional to 1,781.28, 2,671.11 and 684.81

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Solution

The fourth proportional to 1,781.28, 2,671.11 and 684.81 is: 1,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.28 : 2,671.11 = 684.81 : x
  2. Step 2: Convert to fraction form
    1,781.28/2,671.11 = 684.81/x
  3. Step 3: Cross multiply
    1,781.28x = 2,671.11 × 684.81
  4. Step 4: Simplify right side
    1,781.28x = 1,829,202.84
  5. Step 5: Solve for x
    x = 1,829,202.84/1,781.28
  6. Step 6: Final answer
    x = 1,026.90

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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.