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Finding the Fourth Proportional to 847.11, 1,268.02 and 775.33

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Solution

The fourth proportional to 847.11, 1,268.02 and 775.33 is: 1,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.11 : 1,268.02 = 775.33 : x
  2. Step 2: Convert to fraction form
    847.11/1,268.02 = 775.33/x
  3. Step 3: Cross multiply
    847.11x = 1,268.02 × 775.33
  4. Step 4: Simplify right side
    847.11x = 983,133.95
  5. Step 5: Solve for x
    x = 983,133.95/847.11
  6. Step 6: Final answer
    x = 1,160.57

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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.