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Finding the Fourth Proportional to 683.94, 1,020.94 and 633.18

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Solution

The fourth proportional to 683.94, 1,020.94 and 633.18 is: 945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.94 : 1,020.94 = 633.18 : x
  2. Step 2: Convert to fraction form
    683.94/1,020.94 = 633.18/x
  3. Step 3: Cross multiply
    683.94x = 1,020.94 × 633.18
  4. Step 4: Simplify right side
    683.94x = 646,438.79
  5. Step 5: Solve for x
    x = 646,438.79/683.94
  6. Step 6: Final answer
    x = 945.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.