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Finding the Fourth Proportional to 683.92, 1,029.73 and 624.28

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Solution

The fourth proportional to 683.92, 1,029.73 and 624.28 is: 939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.92 : 1,029.73 = 624.28 : x
  2. Step 2: Convert to fraction form
    683.92/1,029.73 = 624.28/x
  3. Step 3: Cross multiply
    683.92x = 1,029.73 × 624.28
  4. Step 4: Simplify right side
    683.92x = 642,839.84
  5. Step 5: Solve for x
    x = 642,839.84/683.92
  6. Step 6: Final answer
    x = 939.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.