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Finding the Fourth Proportional to 1,232.25, 1,847.39 and 711.66

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Solution

The fourth proportional to 1,232.25, 1,847.39 and 711.66 is: 1,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.25 : 1,847.39 = 711.66 : x
  2. Step 2: Convert to fraction form
    1,232.25/1,847.39 = 711.66/x
  3. Step 3: Cross multiply
    1,232.25x = 1,847.39 × 711.66
  4. Step 4: Simplify right side
    1,232.25x = 1,314,713.57
  5. Step 5: Solve for x
    x = 1,314,713.57/1,232.25
  6. Step 6: Final answer
    x = 1,066.93

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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.