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Finding the Fourth Proportional to 985.91, 1,361.17 and 683.62

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Solution

The fourth proportional to 985.91, 1,361.17 and 683.62 is: 943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.91 : 1,361.17 = 683.62 : x
  2. Step 2: Convert to fraction form
    985.91/1,361.17 = 683.62/x
  3. Step 3: Cross multiply
    985.91x = 1,361.17 × 683.62
  4. Step 4: Simplify right side
    985.91x = 930,526.71
  5. Step 5: Solve for x
    x = 930,526.71/985.91
  6. Step 6: Final answer
    x = 943.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.