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Finding the Fourth Proportional to 866.38, 1,297.65 and 622.17

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Solution

The fourth proportional to 866.38, 1,297.65 and 622.17 is: 931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.38 : 1,297.65 = 622.17 : x
  2. Step 2: Convert to fraction form
    866.38/1,297.65 = 622.17/x
  3. Step 3: Cross multiply
    866.38x = 1,297.65 × 622.17
  4. Step 4: Simplify right side
    866.38x = 807,358.90
  5. Step 5: Solve for x
    x = 807,358.90/866.38
  6. Step 6: Final answer
    x = 931.88

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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.