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Finding the Fourth Proportional to 1,284.28, 1,772.30 and 694.81

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Solution

The fourth proportional to 1,284.28, 1,772.30 and 694.81 is: 958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.28 : 1,772.30 = 694.81 : x
  2. Step 2: Convert to fraction form
    1,284.28/1,772.30 = 694.81/x
  3. Step 3: Cross multiply
    1,284.28x = 1,772.30 × 694.81
  4. Step 4: Simplify right side
    1,284.28x = 1,231,415.72
  5. Step 5: Solve for x
    x = 1,231,415.72/1,284.28
  6. Step 6: Final answer
    x = 958.84

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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.