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Finding the Fourth Proportional to 1,052.25, 1,454.72 and 789.81

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Solution

The fourth proportional to 1,052.25, 1,454.72 and 789.81 is: 1,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.25 : 1,454.72 = 789.81 : x
  2. Step 2: Convert to fraction form
    1,052.25/1,454.72 = 789.81/x
  3. Step 3: Cross multiply
    1,052.25x = 1,454.72 × 789.81
  4. Step 4: Simplify right side
    1,052.25x = 1,148,952.40
  5. Step 5: Solve for x
    x = 1,148,952.40/1,052.25
  6. Step 6: Final answer
    x = 1,091.90

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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.