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Finding the Fourth Proportional to 683.79, 944.94 and 517.71

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Solution

The fourth proportional to 683.79, 944.94 and 517.71 is: 715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.79 : 944.94 = 517.71 : x
  2. Step 2: Convert to fraction form
    683.79/944.94 = 517.71/x
  3. Step 3: Cross multiply
    683.79x = 944.94 × 517.71
  4. Step 4: Simplify right side
    683.79x = 489,204.89
  5. Step 5: Solve for x
    x = 489,204.89/683.79
  6. Step 6: Final answer
    x = 715.43

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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.